Flickering tables using Office 2002 on Windows 7
I have seen a similar issue. We solved this by running Word in Compatibility mode, as also suggested by Randolph Potter in the comments above. What worked for us was to choose "Windows XP Service Pack 3".
Here is an article from How To Geek on changing Compatibility mode: http://www.howtogeek.com/howto/10436/using-program-compatibility-mode-in-windows-7/