Twisted really looks complicated, but you can treat most of it as magic. Its tough to find a good entrance-point with twisted - their docs definitly are not, although they are elaborate. I learned twisted like that:
After reading this pygame tutorial
http://sjbrown.ezide.com/games/writing-games.html I knew, that the part of twisted I want to use is called "perspective broker" - a PB is a very easy way (2-5 lines of code) to make your python classes remotly callable. The code in the tutorial seems out of date - newer twisted had some name changes, but the principal is the same. The tutorial helps you to see, how you can integrate those twisted calls with pygame.
So, after reading the tutorial, you should take a look at the howtos under caption "perspective broker" on this page:
http://twistedmatrix.com/projects/core/documentation/howto/
I've written two classes - one for the server, one for the client - that take care of the networking in my pygame projects - if you're interested I can upload them. Though your game has to be event-based... basically how it works is this: some events get a special flag, that tells the network controller "i must send this event to the client/server".