In general, it's best to have enough stock in the jaws to contact the entire length of the jaw. In an extreme example, if you only chucked 1/8" at the very tip of the jaws, the chucking forces will act to spring the front face of the chuck and make the jaws out of parallel. Remember where the force comes from. The screws of a 4 jaw, or the scroll of a three jaw are set back a ways behind the face, and they act on the back surface of the master jaws in the case of 2 piece jaws, or simply the mating threads of a 4 jaw screw or a 3 jaw scroll. As this pressure mounts towards centerline, with nothing back far enough in the chuck to constrain it, the force concentrates nearer the end of the jaws, with considerable leverage. That's the risk there. Of course, lightly controlled chucking pressure poses little real danger of damage, but caution is advised. It is best to allow full length jaw engagement onto the bar.