Also, make sure that the motor is not too far from the platter. I had some problems with the tension in the belt pulling too hard on the axle and causing a click.
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I once had similar clicking sounds coming from the pulley hitting the top of the motor housing. The set screw was loose, and the pulley slid down the motor shaft until it would hit the housing once per revolution. After I figured out where the sound was coming from, I just slid the pulley back up the shaft and tightened the set screw.
It sounds like there is something hitting soemthing else that turns. Does it click 33.333 times per minute? I would look for something that you might have touched / bent while changing the capacitor. Perhaps a lead that got pushed out of place? Did you clip any leads, the end of which might have gone someplace it shouldn't have?