First, since my previous version of LimeWire Pro worked without a hitch, I am suspicious of the 4.10.9 update. With that said, here's some info:
1.) OS=Windows XP Profession SP2
2.) Java=1.5.0_06
3.) Firewall=ZoneLabs Internet Security Suite v.6.1.744.001
4.) Router=Linksys Broadband Router RT31P2
5.) Connection Type=Time Warner Road Runner Cable Service
6.) Connect From=Home

-Enabling UPnP in the Router did nothing to resolve the problem.
-Putting the Router in the DMZ did nothing to resolve the problem.
-Disabling ZoneAlarm did nothing to resolve the problem.
-Pinging LimeWire servers came back as host not found.
-Pinging Yahoo! (68.142.226.32) was successful.
-My iTunes, Firefox Brower and Trillian utilities all connect.