Not adding anything, but doing it over and over definitely speeds things up. The two chuck key method is a big help. I primarily use a 3-jaw set-tru chuck and have two hex keys on opposite sides when truing up the work.
I'd recommend numbering your jaws 1, 2, 3, 4 if they're not already numbered. Lightly hold the work and do jaws 1 and 3. Zero the indicator on jaw 1, then rotate to jaw 3. Adjust the jaws until the number is half-way between the initial reading and zero. Reset zero on jaw 3, swing back to jaw 1 and repeat. Then repeat the process on jaws 2 and 4. Two keys work great for this exercise as you can put a little pressure on the jaw that's being tightened and very slowly loosen the opposite jaw for good control. When you get within 0.001", don't loosen a jaw, only tighten the appropriate jaw.
Bruce