A simple test, go here:
http://www3.limewire.com:6346/ It should say 'Test Page was a Success'. What happened for you?
If you didn't receive that message then you are blocked from port 6346 which LW uses.
What have you tried to do & can you describe in detail what happens. Give LW some time to try to connect. Which version of LW did you install? The english installer or the multilingual international version? Which language are you using it in? English or Japanese?