Is your monitor turned on. (Sorry .. pathetic joke)

I would tend to think it's an isp issue, but having just checked, I don't believe that's your problem. Probably a firewall issue.

Can you give us a total description of your set up:
1. OS version? (eg: Windows 98)
2. What firewalls you have?
3. How much ram?
4. Hard Disk 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...) Will show both LW & Java version.
9. Who is your isp provider (Internet Service Provider)?
10. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up.
11. 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?

12. Does LW say it's connected? See image below.
13. Is there a brick wall in front of the blue globe at the bottom of LW's interface? See image below.

Attached Thumbnails