While disassembling a Unitas 6497 (or during subsequent reassembly) I slightly deformed the hairspring, and to fix it I removed the wheel from the balance cock and then the hairspring from the wheel. The balance cock is of the Etachron type, so the index pin is simply clipped into the stud support. The spring sits inside a notch on the underside of the pin, and is secured in place with some sort of gummy, flexible adhesive (instead of a tiny pin, as I've seen elsewhere).
Anyway, I had a lot