Depends on the condition of the internals. If the gears inside are gummed up, you'll have to take the unit apart (carefully w/o breaking the hour / min / sec / faceplate) and let it soak in naphtha over night and blow it out very lightly. After that, burnish the contacts on the rebound / wind-up spring mechanism then apply 12V to it and see if it works.
After all that and it doesn't work, Id throw in the towel and either look for another clock or get a repro, which looks spot on, but the second hand motion is smooth rather than stopping at every second.
Good luck.