UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549



                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934
                               (Amendment No. 1)*


                         Core-Mark Holding Company, Inc.
                         -------------------------------
                                (Name of Issuer)

                     Common Stock, par value $0.01 per share
                     ---------------------------------------
                         (Title of Class of Securities)

                                    218681104
                                    ---------
                                 (CUSIP Number)

                                December 31, 2008
                                -----------------
             (Date of Event Which Requires Filing of this Statement)

           Check the appropriate box to designate the rule pursuant to
                         which this Schedule is filed:

                                [X] Rule 13d-1(b)
                                [ ] Rule 13d-1(c)
                                [ ] Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).





-------------------                                            -----------------
CUSIP No. 218681104                    13G                     Page 2 of 5 Pages
-------------------                                            -----------------

---------- ---------------------------------------------------------------------
1          NAME OF REPORTING PERSON
           S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           Giovine Capital Group LLC
---------- ---------------------------------------------------------------------
2          CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                      (a) [ ]
                                                                      (b) [X]
---------- ---------------------------------------------------------------------
3          SEC USE ONLY

---------- ---------------------------------------------------------------------
4          CITIZENSHIP OR PLACE OF ORGANIZATION

           Delaware
-------------------- ------ ----------------------------------------------------
                     5      SOLE VOTING POWER

                            0
                     ------ ----------------------------------------------------
     NUMBER OF       6      SHARED VOTING POWER
      SHARES
   BENEFICIALLY             629,500
     OWNED BY        ------ ----------------------------------------------------
       EACH          7      SOLE DISPOSITIVE POWER
     REPORTING
      PERSON                0
       WITH          ------ ----------------------------------------------------
                     8      SHARED DISPOSITIVE POWER

                            629,500
---------- ---------------------------------------------------------------------
9          AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           629,500
---------- ---------------------------------------------------------------------
10         CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

           N/A
---------- ---------------------------------------------------------------------
11         PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

           5.9%
---------- ---------------------------------------------------------------------
12         TYPE OF REPORTING PERSON*

           IA
---------- ---------------------------------------------------------------------


                                      -2-





-------------------                                            -----------------
CUSIP No. 218681104                    13G                     Page 3 of 5 Pages
-------------------                                            -----------------

---------- ---------------------------------------------------------------------
1          NAME OF REPORTING PERSON
           S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           Thomas A. Giovine
---------- ---------------------------------------------------------------------
2          CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                      (a) [ ]
                                                                      (b) [X]
---------- ---------------------------------------------------------------------
3          SEC USE ONLY

---------- ---------------------------------------------------------------------
4          CITIZENSHIP OR PLACE OF ORGANIZATION

           United States
-------------------- ------ ----------------------------------------------------
                     5      SOLE VOTING POWER

                            0
                     ------ ----------------------------------------------------
     NUMBER OF       6      SHARED VOTING POWER
      SHARES
   BENEFICIALLY             629,500
     OWNED BY        ------ ----------------------------------------------------
       EACH          7      SOLE DISPOSITIVE POWER
     REPORTING
      PERSON                0
       WITH          ------ ----------------------------------------------------
                     8      SHARED DISPOSITIVE POWER

                            629,500
---------- ---------------------------------------------------------------------
9          AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           629,500
---------- ---------------------------------------------------------------------
10         CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

           N/A
---------- ---------------------------------------------------------------------
11         PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

           5.9%
---------- ---------------------------------------------------------------------
12         TYPE OF REPORTING PERSON*

           IN
---------- ---------------------------------------------------------------------


                                      -3-





     This Amendment No. 1 to Schedule 13G (this "Amendment No. 1") is filed with
respect to the Common Stock of Core-Mark Holding Company, Inc., a Delaware
corporation, to amend the Schedule 13G filed on February 5, 2008 (the "Schedule
13G"). Capitalized terms used but not defined herein have the meaning ascribed
thereto in the Schedule 13G.

Item 4:             Ownership:
------              ---------

     Item 4 of the Schedule 13G is hereby amended and restated in its entirety
as follows:

     As of the close of business on December 31, 2008:

  A. Giovine Capital
     ---------------

     (a) Amount beneficially owned: 629,500 shares of Common Stock.
     (b) Percent of class: 5.9%. The percentages used herein and in the rest of
this Schedule 13G are calculated based upon a total of 10,737,663 shares of
Common Stock issued and outstanding as of September 30, 2008 as reflected in the
Company's Quarterly Report on Form 10-Q for the quarterly period ended September
30, 2008.
     (c) Number of shares as to which such person has:
          (i)    Sole power to vote or direct the vote: -0-
          (ii)   Shared power to vote or direct the vote: 629,500
          (iii)  Sole power to dispose or direct the disposition: -0-
          (iv)   Shared power to dispose or direct the disposition: 629,500

  B. Mr. Giovine
     -----------

     (a) Amount beneficially owned: 629,500 shares of Common Stock.
     (b) Percent of class: 5.9%.
     (c) Number of shares as to which such person has:
          (i)    Sole power to vote or direct the vote: -0-
          (ii)   Shared power to vote or direct the vote: 629,500
          (iii)  Sole power to dispose or direct the disposition: -0-
          (iv)   Shared power to dispose or direct the disposition: 629,500


                                      -4-





                                    SIGNATURE

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

DATED:  January 8, 2009


                                        GIOVINE CAPITAL GROUP LLC


                                        By:  /s/ David R. Beach
                                             -----------------------------------
                                             Name:   David R. Beach
                                             Title:  Chief Operating Officer



                                        /s/ Thomas A. Giovine
                                        ----------------------------------------
                                        Thomas A. Giovine



             [SIGNATURE PAGE TO AMENDMENT NO. 1 TO SCHEDULE 13G WITH
                   RESPECT TO CORE-MARK HOLDING COMPANY, INC.]