Do you have a basic faceplate with your unit? If so, try it as it might be the cheapest way to start and get a feel for this work. Or, you might purchase one.
https://www.shopsmith.com/ownersite/catalog/l_lathefaceplates.htm
You can screw a piece of sacrificial wood to the faceplate and then glue your workpiece to it with wood glue and a sheet of paper between the workpiece and the sacrificial wood. The paper allows it to release when finished.
If you find that you are going need something more involved, you can look into other options like the Nova chuck.
https://www.shopsmith.com/ownersite/catalog/nova_g3.htm
It is always good to "try" first, and "buy" later.