Most if not all miniature lathes have (or used to have) a full set of collets with which to hold the workpiece, and are much more accurate than a 3-jaw chuck for small stuff.
This Pultra has a wide selection of collets to hold all manner of items. The 3-jaw chuck has reverse-able jaws and can hold items nearly 3 inches in diameter if required.
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All the best, Kier & Chums