Not a huge deal, but I noticed that when I've already completed a search, clicked off of the results, then resize the browser window the search results appear again.
I tried fixing this problem with:
jQuery(window).resize(function() {LiveSearch.hideResults(this);});
It does keep them from staying on the page after I'm done resizing, but they flash off and on while the resizing is taking place.
http://wordpress.org/extend/plugins/daves-wordpress-live-search/