Hi i also have problems with the new version disconnecting, i am on a broadband with talktalk and even though i have the pro version i have only been getting good to excellent connection speed and very rarely the turbocharged connection i pay for. With the old version i rarely had less than an excellent connection searches and downloads seem a lot slower now so it will be interesting to see if anyone comes up with some answers to your (and mine) problems. Dont want to hijack your post just let you know even broadband connections are bad as well.

just to add a PS i had recently installed an anti virus program (avast) because avg wasnt working (it is now) so i deleted this and went to the lime wire official site (click on "help" in limewire theres a link there "using liwewire") under related links i clicked on "Can't Connect" and found a firewall issues page printed off the instructions and after trying this my connection was back to near normal. hope this helps you too.