I recently downloaded limewire basic.I am new to downloading music and was told this is a good site.Anyway when I click the limewire icon it doesn't open it just seems to blink or try to open but doesn't.Any ideas as to what I might have done wrong?

Try this reinstallation technique: http://www.gnutellaforums.com/333278-post2.html if that doesn't fix it then try steps 5 & 6 in Fixes for Limewire (click on blue link)