Configure your firewall 1st before installing so it allows LW full access (advisable not to have 2 active firewalls b/c they can interfere with each other); Firewall configuration instructions (click on link)

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?

If the page doesn't load then you may need to port forward your modem/router depending on what brand & model of devices you're using.

I would also recommend the "Offline" installer as compared to the other one.