Well, it probably woundn't. AFAIK, your username disconnets on their server. It's too fast to really notice, but quick enough to get a new IP assigned. Have a look @ dynadns though. And maybe at gettting a free backup DNS somewhere, as you'll probably need it.
Tip: If you want to setup a server to make money off it (hosting, email hosting, game server, etc etc), rather spend the extra bucks and have it placed on IS / SAIX / MWEB / [name your fav ISP]'s backbone. They have the necessary UPS, lightning protection, standby techies, dedicated lines + IP addresses to make sure your server is online more than 95%