Ray-

When you exit LimeWire, you should see a dialog box asking if you would like to keep LimeWire in the system tray. If you don't want to put it in the system tray, simply click the "No..." option, and it will not remain in the system tray.

For other users reading this post, LimeWire only goes to the system tray on Windows NT and 2000 for now. We are working on adding this feature for Windows 95, 98, and ME.