Forget my previous smart ass thread and lets see if we can contribute to the OP's original intent.
I do a lot of machining with small drill bits, cutters etc on my drill / mill.
When chucking up a very small diameter drill bit in a 13 mm three jaw chuck it is very easy to get the chuck to tighten down on the bit when it is between just two jaws and not centered among the three.
Turning on the press without first doing a manual sweep can break the bit or damage the work piece.
Always rotate the chuck after tightening by hand to check clearance.
David