Drag & drop these files to the Trash:
1. Applications folder: LimeWire folder
2. User folder: Shared or whatever you named the download folder as, and also the incomplete folder.
3. User folder: LimeWire.
4. Preferences folder:
Deleting LW Preferences folder in OSX
5. OSX Drive -> Library -> Receipts folder -> Install imeWire.pkg (see sample image here
Can't launch LW: Bouncing in Dock (click on link)