1st try to delete your LW Prefs folder called
.limewire (whilst LW is closed!) & found here: /Users/your_username/Library/Preferences/LimeWire
Either use the Standalone Java or 10.3.7 installers or see these:
1.
http://www.gnutellaforums.com/showth...6094#post96094
2.
http://www.gnutellaforums.com/showth...3462#post93462 (icon bouncing in dock)
3.
Standalone java solution