Little physics intermezzo
Okay, this is my first post on this forum, but since I'm a physics student, I tought I could sort this out.
Both Mark38 and Peetzakilla have some true points. You're just looking at it starting from other laws. According to the third law of dynamics which Peetzakilla used in his explenation, the momentum will stay the same in the whole system. This however is caused by the actions of the gas Mark38 explained. The only point he got wrong is that the bullet isn't part of the gun, so when the gas pushes in all directions, it pushes against the bottom of the casing and the bullet. Since the bullet has friction, a part of the pressure against the casing is compensated for by the friction of the bullet.
All of the force used to accelerate the bullet will be felt as recoil too. As the gun weighs roughly a hundredfold of the bullet, the weapon will go only one hundreth of the speed of the bullet in recoil. So while the bullet is acceleration from 0 m/s to it's v0, the "recoilspeed" of the gun will be in direct proportion to the speed of the bullet at that particular moment.
And now we're getting to the point. If we look at the generated recoil energy, we see that the part caused while the bullet is in the barrel is only 1/3th of the total recoil energy. The other parts caused by burning gasses when the bullet has exited.
So to sum it up, if someone would really want it, I want to calculate the rotational speed of a recoiling weapon. However, considering the facts I mentioned above, I'm pretty sure it would be fairly pointless, and it would most likely be in the range of some millimeters without any noticable effect in practical applications.
9-ball