"Time is Money" by Lee Falk
Illustrated by Fred Fredericks and published in Playboy in the December 1975 issue, it follows a man named Tom who is extremely low on time in his account and is begging for people to give him some time of day. The transfer is, as with the movie, typically done with a handshake, although it's actually a matter of metal plates that could transfer over a distance of 25 mm.
In this land, which is far away from ours, in time as well as in space, there is a huge building in the center of the capital. It is the tallest and the widest building in the land. It has no windows, for no one cares to look in, and there is no one inside to look out. Inside, there are only endless wires, dials, meters, calculators, robot computers, circuits and, equally important, circuit breakers.
The endless rows and tiers, row upon row, tier upon tier, click and hum quietly. Occasionally, there is a louder click, more of a clack, as a circuit breaker closes an account. This is the Timebank.
How could Tom have gotten into such a predicament, to allow his account to get so low? Sloppy bookkeeping, he told himself angrily. Like everyone else, Tom kept a record of income and outgo, credit and debit, in his own bankbook. Once a month, a statement arrived from the Timebank, when you could (and should) balance your records against it. But he'd neglected this for a long time.