For woodturning you want a four jaw scroll chuck. Three jaw is typically metal turning; there are also four jaw metal turning. A would turning chuck will have jaws at close to a completer circle.
Whether it is dovetail jaws or not depends on the maker. Mine are Nova's and on most of the jaws the inside are smooth, corrugated, or has a small lip. On the very largest jaws the inside has a dovetail. I think all of their jaws have dovetails on the outside.
Other makes may have straight smooth jaws inside and out or serrated jaws inside and out.
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