Most of the chucks that PSI and Woodcraft offer have woodworm screws as accessories for about six bux each. If you've a chuck like one of those, bet it'll work just fine. Cheaper than buying a whole new chuck. Then again, a turner never has tooo many chucks (or so I've read).
I've also heard tell that if you drill a hole through a chunk of scrap about 3/4 inch thick, super glue a 2 inch #12 or #14 woodscrew into it, let the glue cure, then chuck the screw and turn the scrap round, you can them mount the wood in the chuck of your choice and mount whatever you want on the screw.