So upon further inspection, it appears at a PO adjusted the location of the stationary contact to put it closer to the other, moving contact. The stationary contact is on a long arm, and they wedged it in a way to shift it over a little. Not sure why, but I removed the piece of paper they used to wedge it over. The clock seems to run fine and now it takes approximately 2 minutes between winds. This sounds more typical based on others' experiences.

Cleaning and lubing the clock did not change the clocks ability to keep time. It seems to get off about 1 minute per day, but maybe I just need to accept it.

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1968 220D, w115, /8, OM615, Automatic transmission.
My 1987 300TD wagon was sold and my 2003 W210 E320 wagon was totaled (sheds tear).