Do you have the firewall port open?
What OS you have?
What protection soft. you use (Norton, Avg, etc...)?
What version of LimeWire do you have?
Have you tried with other P2p soft?, If yes, please tell us how it worked
Is the connection shared? If yes, please give details of how.
What kinda connection do you have?

Please answer this simple questions for helping us to help you