You can transfer the putty into a new tube. Get an old plastic toothpaste tube (just replace one used tube at the house). Cut off the flat end. Slit your putty tube open, and remix the putty and the solvents and carrier. Push that mixture into the new tube, getting out all of the trapped air. Roll up the flat end, and secure that with a binder clip.
you can do this right away when you open a new tube of putty, and it will last longer. Cut the flat end off, "round out the shape of the tube", and roll the end up and secure with a binder clip. Then, when the putty starts to get old, you can poke a steel stir stick in there and remix it. (or remove it, remix it, then return it)
Rex