Chances are, if you access the internet via a router, you will have connection problems.
Basically, you need to do 2 things.
1) Make sure that your PC is set up with a Static IP addess as opposed to obtaining one automatically.
2) Configure the Virtual Server in your Router to enable port 6346 (both UDP and TCP).
To do these 2 things;
1) Go here
http://www.portforward.com/networking/staticip.htm
2)Go Here
http://www.portforward.com/english/r...outerindex.htm
Once you have found your Router it will take you to a page that will help you set up any application that requires port forwarding - You will find Limewire conveniently located under the section entitled 'L'
Good Luck