Sounds like your firewall is stopping you from connecting. Try this

Adding An Exception For The LimeWire Program
1. Open the settings of your security program
(usually by right-clicking the system tray icon)
2. Locate a section for adding exceptions for specific programs
3. Add LimeWire as an exception

Hopefully this will get you re-connected otherwise check these
links out (Major Topics for vista issues) (If LW 5 Will Not Connect)

I just googled your ISP -- Time Warner Cable (Roadrunner)
check this link out:- (Time Warners P2P Policy)

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Limewire links: (If LW 5 will not connect) (If LW 4 will not connect)(system details) (LW Clean Reinstallation Instructions) (setting up your firewall to accept LW)

LW links are changed at times to match the current problems.