In LW file > disconnect. Wait 10 minutes, then file > connect.

If it's still stuck, try replacing the gnutella.net file (see the threads in post #4, the bottom thread has very basic instructions point 7 onwards). That's worked for quite a few people.
If that doesn't help, give us your details.
System details - help us to help you -> Provide these details when you post!!!(click on link)

1. OS version? Windows XP SP2 Home edition
2. What firewalls you have? Yes Windows Firewall, but Limewire is an exception
3. How much ram? 512 MB
4. Hard Disk space available? 56.09 GB
5. Connection type? (eg: dialup, broadband, cable, etc.) Broadband
6. Modem & router brand name & model numbers? Dont know
7. Where are you trying to connect from (house, appartment complex, school, student accomodation, work, etc.)? House
8. What version of LimeWire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version. Limewire 4.14.10 Java 1.6.0_03
9. Who is your ISP (Internet Service Provider)? Irish Broadband
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? Your Test Worked
11. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up. Only Limewire
12. Is this a your 1st try at LW or is this a new problem with an experienced user. New Problem
13. Do you see a brick wall in front of the blue world icon at the bottom of LW's interface? _ click here to see Sample image Yes
14. For those using a modem/router, how is your modem/router set up...are you port forwarding or is UPnP enabled? Dont know
15. What security programs are you using (antivirus etc)? Some people might not be aware that their security suite includes a firewall AVG Antivirus Free Edition
16. What country are you living in? Sometimes there are ISPs with the same name in more than one country (eg Clearwire in the USA & also in Ireland). Ireland

Did you replace the gnutella.net file (within LW's preferences folder named LimeWire)?

Do you use a modem or router? Look for a box with lights on it which connects to your computer & lets you connect to the net. If you're using a wireless connection, the modem/router might be in another room.

In LW go tools > options > advanced > firewall config. Change LW's listening port to 64049 > apply > ok. You can also try other ports in the range of 49152 - 65535.

If you can find your model in the list here, try port forwarding.
PortForward.com - Free Help Setting up Your Router or Firewall
Click on your modem/router model & then choose LimeWire from the list of programs. Then you'll see step-by-step instructions for port forwarding.

If setting up a static IP is part of the instructions, don't miss that step. LW's listening port, port in the 'manual port forward' box & port forwarded within the router setup should all be the same number