Update your Java:
Java 1.5 (take the JRE)
What is:
1. your Connection type,
2. Modem & router brand name & model numbers,
3. Where are you trying to connect from (home, school, work, etc.)?
Go here:
http://www3.limewire.com:6346/ & tell us what happens. It should say Test page was a success.
Depending on how many incomplete & shared files you have, LW can take some time to settle down. Wait a while until it does before trying to search for files.