What's your connection like (how many green bars)?
Someone else who uses Platinum had the same problem a couple of days ago...
http://www.gnutellaforums.com/showth...light=platinum
Have you tried other p2p apps & does the same thing happen? It would be worth you trying another app, to see if it's just a LW problem. The other person had the same trouble with another app, which suggests that it's not specifically a LW problem.
Also, what version of LW were you using before the problem started? Have you tried reverting back to an older version of LW to see what happens?