Steering wheel clock

Dont you have to push in on the horn ring before you twist counter clockwise?
I havent taken my horn ring off but that is how all other cars i have had in tbe past were
Push to blow. The horn ring is held with screws beneath the center. The center has steel latching fingers. Pushing on the center wouldn't effect them. Just twist to unlatch.
This fancy horn ring shown ( with dust collecting grooves in it ) is more common to b-c- bodies but is seen in a few a-bodies. Our very first 67 notch had the same part. I still have it here. The clock is a aftermarket item, like knee knocker a/c.
Vintage car clocks had a set of points on a ratcheting spring winder mechanism inside. Points would close and make pop noise as they winded the clock to run approx' 3 minutes, winding down brought points together again, then the "pop" repeats.
I don't know if this particular clock works the same. In theory, picking 12 volts off the horn circuit/wire should cause the horn to sound every time the points closed. A quick "toot". Maybe the relay and horn(s) couldn't respond so fast, to such a brief signal. Maybe there was enough resistance in the clocks points/contact path that the horn relay doesn't close even briefly.
One more tidbit. Adjusting time forward caused the clock to run a tad faster, adjusting time backward caused the clock to run a tad slower. So the owner unknowingly fine tuned his clock to keep correct time.