As long as you configure Norton to give Limewire full access, there shouldn't be a problem.
Make sure your not useing 2 firewalls. MS Vista & Norton together, as they will conflict with each other. Also check your router/modem for a firewall as some have them also.
Try Free Limewire Basic first, to see how it's going to act or respond. Buying Pro will NOT make a difference if you can't get Basic to work.
Hope This Helps.