I, too, cannot get LimeWire to connect. Any help would be greatly appreciated.
Here is my info:

1. What OS version? (eg: Windows 98, XP,OSX, Vista) - Windows XP Home Edition 2002
2. What firewalls you have?
Windows – off [LW is an ‘Exception’]. Norton – LW is ‘Allowed’ [cannot connect with Norton F/W turned off]
3. How much ram? - 504 MB
4. Hard Disk space available? - 5.5 GB
5. Connection type (eg: dialup, broadband, cable, etc.)? - Cable
6. Modem & router brand name & model numbers? - Motorola Surfboard – SB5120 [no router]
7. Where are you trying to connect from? - House
8. What version,LimeWire & Java,Go to L/W's Help/About L/W, THIS show both LW & Java version.?
Limewire 4.16.6 / Java 1.6.00_05
9. Who is your ISP provider (Internet Service Provider)? - Comcast
10. Do this test click here: http://www3.limewire.com:6346/ should say 'Your test worked!’ What happens?
Your test worked!!
11. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up.
No
12. Is this your 1st try at LW or is this a new problem with an experienced user? - First try.
13. Do you see a brick wall in front of the blue world icon at the bottom of LW's interface? - Yes.
14. Have you given full permission for LimeWire to pass through your Firewall? - Yes…I think so.
15. XP users, please state XP firewall on or off? - Off.
16. What country are you living in? - USA