Have you tried these things http://www.gnutellaforums.com/connec...t-connect.html Some of those things you need to do whilst LW is closed.
Be sure the program is listed as an exception in your firewall. ie: depending on your software firewall you are using, go to Control Panel, open up the firewall, click on Exceptions tab, click Add, select LimeWire. If necessary, make two exceptions, one for UDP and one for TCP. This can be done via editing the firewall exception listing.