I have not seen anything like that, but a "smooth second hand" clock is about $2 in the Fonk kong shop.
They do eat AA cells though, lasting about a month per cell. I got annoyed with replacing the cell every month, so modified it with an old red LED from a PC case, a 1000uf 16V capacitor ( not bulged yet) off the power supply of said case, and a selected on test resistor ( 3k3 worked out fine) off the power supply board to drive the mechanism with 1V2 or so.
The first iteration used 560R and is fed with 12V from a UPS supply, but the voltage across the LED was then 1V9, and the clock gained time. Tried the 3k3 in series with the supply and got the 1V2, and now it keeps good time. The UPS is there to keep the cordless phone running when Eishkom does load shedding, so it only has to do 2 hours at most, but using 2 used 7Ah batteries it probably will do 2 days without power. The whole lot is in an old GRP box, and uses 2 old burglar alarm charger boards, one doing the battery float charging unmodified, and the other modified so it provides a 7V supply from the 723 regulator on board to power the phone base station, replacing the original 6V9 SMPS wall wart. Only issue is it now floats at -48VDC from the phone line, so do not touch the wiring to the clock.