LimeWire features its on uninstaller accessible from its installation directory (C:\Program Files\LimeWire) or from the Control Panel under Add & Remove programs. If you can't uninstall it using these ways, I recommend you to try using Revo Uninstaller. Even if it can't uninstall the application normally, it will force it to uninstall by wiping out all traces of its presence from the system.
When you start the uninstall procedure, make sure to select the advanced one so that the application scans entire computer for file leftovers.