Thanks for the detailed steps. Just to be absolutely 100% clear (since I'm not an everyday mac user and don't understand the lingo perfectly), you:
1) Open LimeWire (from the DMG installer?... does the same thing happen if you use the InstallAnywhere installer?)
2) Open either the Prefs or About window by choosing LimeWire -> Preferences or LimeWire -> About
3) Drag the Prefs or About window anywhere (specifically, you didn't drag the LimeWire window)
4) Click the LimeWire icon in the dock (that's the one that magnifies when you move the mouse over it?)
5) Drag the same Prefs or About window again, causing a freeze. Does the freeze make a spinning beachball and require a force-quit, or does the GUI just stop working?

Does this also happen with the Statistics window also?... It might just be a problem with Dialogs over Frames, but that'd be just bizarre.

Are there any other steps that can cause a freeze?.. such as replacing 3 & 5 with highlight some text or close and reopen the window, etc...

Thanks again very much.