Hi Mike,
Does Groove run from that shortcut successfully? You may want to also followup in the Groove discussion group through the link
below.
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When I click the Start button, all my Office 2007 icons are intact, except
for Office Groove, which is a blank page. How do I restore the icon to this
shortcut? >>
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Please let us know if this has helped you,
Bob Buckland ?

MS Office System Products MVP
LINKS
A. MS Office Groove news/discussion group via newsreader software
news://msnews.microsoft.com/microsoft.public.groove
or
MS Office Groove new/discussion group via browser:
http://microsoft.com/communities/newsgroups/en-us/?dg=microsoft.public.groove
B. MS Office Accounting Community discussion/newsgroups via Web Browser
http://microsoft.com/office/community/en-us/default.mspx
or
Microsoft hosted newsgroups via Outlook Express/newsreader
news://msnews.microsoft.com