A screw chuck is a very old and very handy way to hold a lot of projects such as bowls and platters on a wood turning lathe. Begin by taking a piece of scrap wood, here about 3" on a side, and gluing it to a glue block, or screwing it to a spare faceplate.
Knock the corners off on the band saw (not necessary but nice) and mount to the lathe.
Turn it round with a slightly concave face and a dimpled center.
At the drill press, drill for a tight fit of a #14, 1 1/2" long sef tapping sheet metal screw. This can also be done on the wod lathe with a drill in the Jacob's Chuck if you have one. 3/16" is about right.
I like to cut off the tip with a Dremel or similar. The screw chuck is typically used on the wood turning lathe with a pre-drilled hole and the point is not necessary.