If Limewire is constantly opening when you close it, then you may have a worm.
Take a look at #4 in this post
http://www.gnutellaforums.com/showthread.php?t=41432
Hopefully, though, you just want to open it manually when you turn on your computer! If that is the case, click tools...options...advanced...system startup
Unselect 'Run on System Startup'
Good Luck
Dano