What colour are the connection bars in the bottom left hand corner. If they're all red then you're probably firewalled.
Can you give us a total desciption of your set up:
1. OS version? (eg: Windows 98)
2. What firewalls you have?
3. ram?
4. HDD space available?
5. Connection type? (eg: dialup, broadband, cable, etc.)
6. Modem & router brand name & model numbers?
7. Where are you trying to connect from (home, school, work, etc.)?
8. What version of Limewire (LW) & Java do you have? (Go to LW's menu Help>About LW...)
These details are vital if you want us to find out what your connection problem is.
Do this simple test for us. Using your browser go here:
http://www3.limewire.com:6346/ The page should say ‘Test Page was a Success’. What happens when you go there?
Configure your firewalls here:
http://www.limewire.com/english/content/firewalls.shtml
Is this the 1st time you've used LW?