Powering from batteryHow are you going to power the clock?
Is the clock going to be located permanently indoors?
There is so much 60Hz AC signal being radiated that you can pickup the signal without a direct connection.
You can build a solar powered clock. I never completed mine. I had laid out the PCB but never got around to having it fabricated.
It would keep track of solar time and was designed to run for 1000 years without requiring adjustment.
I have never heard of that solar method, I'm going to read on it
Thanks