If you're concerned about the possibility of your ISP (Internet Service Provider) blocking or filtering your p2p sharing or just LW, then see these:
ISP's known to BLOCK or Filter p2p or specifically Limewire & also
A Fix for those whose ISP's block Limewire pages 1 & 2 which has a link to alternative instructions.
And as LeftSaidFred said, it might even be an idea to give them a call to tell them to open any ports that might be blocked or to stop secretly filtering your p2p sharing use. Often people at the front desk don't know but someone will.