Making a Custom Collet to hold a chrome part on a lathe

[Toolmaker51]

A lot of sharing goes on at HMT.net. A big portion of that is terminology related.
Calling it soft jaws or a collet isn't wrong, many other terms fit too. If you wanted to order one, it might be called a 'split body soft workholding bushing' in a catalog. English has a circuitous nature, all of us in tow. A safe bet; most here think we share design ideas, but there is an equal amount of vocabulary exchange.