We used to do this slightly differently... We would coat the inside of the piece being removed with PVC glue and then set it on fire. You learn VERY quickly how much glue is just enough and how much is too much!
If you are going to try to retrieve used fittings make sure you cut a slot in the piece of pipe you are going to pull out of the joint. If you use a sharp hacksaw blade (life is too short to use blunt hacksaw blades!) and carefully cut all the way down through to the the glue you will not crack the fitting when pulling the piece out.
The longer the joint has been glued the harder this is to do without cracking the fitting, also the piece of pipe being removed can become brittle and small shards will break off and remain glued... This sucks. The small pieces are extremely hard to remove! Making sure the area is thoroughly heated to soften the plastic helps to avoid this.