Thanks, glad you like it!
The movement should work with anything that can deliver the ~12.5 in-lbs of torque needed on the shaft. The torque should be consistent, or it could run oddly. Hence the counterweight being a good bet. However motors or barrel springs will work, if you find the right ones.
Speeding up the mechanism could be achieved in two ways. The ticking is a spring balance, so you can make it faster by lightening the balance or strengthening the spring. The balance wheel itself is a screw balance, and in the video I have all 6 screws in place. If you remove some it will go faster. The spring would need to be redesigned in CAD, or could be printed with a material stiffer than PLA (perhaps a carbon filament?).