At the machine shop meeting I mentioned having trouble getting the big drill press chuck to hold a 1/16" bit. Someone (Charles?) said it was rated to 1/32" A little inspection showed some shavings mashed up between the jaws. A little quality time with a pick freed them up and now they hold a 1/32" bit nice and firm.
The meeting minutes imply the chuck issue was with the plastics drill press, this was not what I was discussing. It seems fine, too.