Does BearShare work no problem?

And are you trying to run both at the same time?

Are you trying to connect using UPnP or do you use Portforwarding?

Under the connections tab (If you can't see it, then go to View-->Connections and it should be visible) do you see UPs trying to connect?

Also have you tried disconnecting and reconnecting Limewire after a while? (Go to File-->Disconnect and then after 10-20 seconds Connect)