The first time the piece is dipped in the paper clay slip only a very light coating stays on the wire. With successive dippings, the layers build up and it depends on how thick you want the final form to be.
Right now, it is still in the formative stage. It will require many more dippings and dryings in between to build up to the final stage.
Summer time (or a very mild winter like what we are experiencing here in So. California right now) is always a great time to do this kind of project as the paper clay slip dries quite fast. On an average day, I can manage 2-3 dippings.