Oops!

See if anything here helps, some people have had good results after using Restoration
Deleting files from LW library - Don't!! File recovery advice

LW versions 4.13.0 onwards (Beta versions) send files to the recycle bin if they're deleted. Tha latest Beta is 4.13.2. If you're interested in trying it, you can download it from the usual download page at www.limewire.com

Good luck