Are you talking about a chuck on a morse taper adapter, or a large jaw chuck threaded onto the headstock?
I call mine a #3 Philips screwdriver. :gar-La;
If it has threads on the opposite end it's called a draw shaft I believe. Commonly used to hold morse taper shafts or draw collets in place.
Haven't heard that term used in a loooooong time. It sounds right, though. Must have come from BITD when lathes used larger drill bits with morse taper shanks. Still got a few myself.It is called a drill drift
Go
I could not find anything in my shop long enough to knock out the chuck, I had a piece of rebar but it was too large in diameter, longest screw driver was too short.
It is called a drill drift. That is the flat wedge-shaped piece you stick in the slot. The piece you drive in against the shoulder around the edge is called a morse taper wedge, and comes in different sizes. You use this if the bit/chuck goes beyond the slot, or if there is no slot.
HTH.
Go
i don't believe I've ever seen one come with any tool or chuck. If you had a drill press that used a morse taper spindle it would have a slot into which you'd insert a tapered wedge to knock it out.
If you must have one, get a piece of brass rod small enough to go into the spindle bore. It will be more forgiving than a steel rod.