If the mainspring is a guided coil spring you only need a pipe cleaner and a pair of pliers to disassemble/assemble. Non-traditional locks, including T/C, use a leaf spring only for the frizzen spring where taped small pliers will do.
if it is a leaf spring, just draw the cock to full, clamp the leaf with the vise grips barely compressing the spring.
trip the sear and drop the cock fully. the spring will come right out. if you dissemble the tumbler watch that you don't lose the fly. they were named thusly for one reason!