sawmill wroteI was going to post a question about the double sided tape also. Is it stong enough to hold the parts when turning on the lathe. Years ago when I was in school we used to coat both pieces with glue and lay a sheet of paper in between and clamp up the part until the next day. If carpet tape is used it would be much faster but I always wonder if it was strong enough.
The thin (I think mylar) double sided carpet tape that Home Depot sells makes an almost permanent bond. It is at least as strong as the old method using glue, paper, glue. The tape is transparent and has plastic film. I have stuck it on things and have had to fight to get them apart.
I would guess unless something like a tool stopping the spinning wood on a lathe happened I don't think it would come off. And even then I would think that the wood might break before the tape lets go.