On Fri, 11 Dec 2015 22:55:49 -0800
OFWW wrote:

A friend of mine had a wobbly chuck and not due to the internals, but
the fit of the chuck onto the spindle. If yours is pressure fitted and
without a locking set screw from the inside of the chuck to the middle
of the shaft then it will happen to your as well.

mine has a morse taper #2 or #3 i think
no woblly going on at all

this was a rescued drill press that had been abandoned and was quite rusted
it is excellent now

but it is a machine and machines must be put to use
i drill with it but with a sanding spindle it becomes even a more useful
machine