Rough guess, 2,000 turns but I could be wildly out. It would be custom made for the clock so only the original manufacturer would know for sure.
Forget using it for high voltage, even if you made a transformer, using it as a secondary and winding say 50 turns of primary around it, the step up ratio would be fine but the insulation on that kind of wire would probably break down or flash over at around 50V. You would in any case have to modify the metal core, at the moment it is designed to concentrate a magnetic field in the rectangular gap, that is where the rotating part of the clock mechanism gets it's 'push' from. It needs linking across to complete the magnetic circuit. In all, it's far more work than it's worth for such poor outcome.
Brian.