You Say!!
"Just to make sure, I went to Search, and typed in limewire. It didn't find anything. I restarted my computer, and searched again, and still, it finds nothing.
Does that mean I got rid of it ?"

There will still be BITS left if you haven't uninstalled correctly.

Now Go to, Start/Search/click on all files n folders/more advanced options/
& make sure, case sensitive, is not ticked. (all other boxes should be ticked)
Now!!, Put limewire in box, (all or part of file name) & click search.
Delete everything found, including Prefetch folder, (I mean everything)
Re BOOT Your computer NOW.
That should clear it.
Peace.

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mickjapa108