Hey
I usually glue up the rings in a press then
Put the handle on a mandrill then shape it on my Atlas lathe
Then use special rasps to adjust the bore
Once in a while I’ll glue the rings on the rod then chuck the whole rod protected with a wrap of tape where it goes thru the chuck jaws because my head piece is hollow
I use a cork ring at the back of the headstock and a guide arm to keep from bouncing you can see on lathe pic
They turn out pretty nice I have patterns for full wells,half wells,and cigar but I finish each one by hand so there are small differences
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If you can find an Atlas 6” you’d be golden
Good luck
Joe