Ok give me some system detail's.
7. Where are you trying to connect from (house, appartment complex, school, student accomodation, work, etc.)?
8. What version of LimeWire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.
9. Who is your ISP (Internet Service Provider)?
10. Do this simple test for us. Using your browser go here:
http://www3.limewire.com:6346/ The page should say 'Your test worked!'. What happens when you go there?