The question was about cleaning the surfaces before gluing. Meths works for me, I'm sure isoprop or acetone would too.
Getting the residue off is another matter! That's where two layers of masking tape help.
Also if you can conveniently take the "chuck" out of the lathe with the work attached, I have found that boiling them in water for a bit can loosen the glue from all the surfaces. Probably the same if heated in the oven. Almost any superglue will do the job if fresh, 460, 480, poundshop, B&Q, whatever.
I have tried using shellac in the form of copiously applied carpenter's knotting, allowed to dry then place the work on it under a little pressure and warm up. Never really worked for me, I'm sure you can get shellac flakes still but superglue is more available. The original name of the method was a "wax chuck" which suggests that sealing wax was used, but that's even harder to get these days I suspect.
Now go and try it out Chris and tell us how you get on.