The one I did I was able to keep the chuck jaws on the SS portion of the shank. I use a spud into the muzzle end that is also my flow through coolant nozzle so didn't have to worry about clamping on the muzzle. If I was to use a spider and it had to tighten on the CF I'd probably put a wrap or two of some kind of tape between the CF and the shim stock and even then be pretty gentle on the screws.
