Make sure your firewall is configured to allow full access to LW:
http://www.limewire.com/english/content/firewalls.shtml
Try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire
After opening LW wait 10 to 20 mins before using. Let it settle down 1st.
Also don't use the Resume button on all incomplete files. This can have side-fx such as affect LW's connection quality. May queue your files for much much longer. This will also stress LW & your comp. If you use Resume/Find sources then just apply it to a couple or so at one time.