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“Brilliant!” Preet Sangha said, and I agree, but since I have a hard time seeing small meters across the room, I thought up another, bigger meter. How about this?
Instead of meters, use a printout of a meter face, full page size. There will be one for each hour, minute and second. These will be attached to a thin board mounted in a picture frame.
Instead of the meter needle, attach a thin pointer to the rotor of a servo, and mount the servo where the meter movement would be, but behind the board. The servo may be capable of rotating the needle through a larger portion of the circle than a meter, which might help increase resolution. The whole setup would be controlled by an Arduino.
Also, I believe there are some meters that can rotate through 270 degrees, so use a printout of one of those.
Update – here’s a website where custom meter faces can be made.
http://meterbuilder.com/mb1/custom-meter-scales.html