According to Pete: Extreme Underclocking with the ProMini

How slowly can you clock an ATmega328 and still have any functionality?

Welcome to the latest ATP! Today, we look at something of particularly questionable value: underclocking an ATmega328 to the point of just-what-are-you-trying-to-accomplish-here-anyway? What happens at extremely low clock frequencies? We pull off the resonator, splice in an external clock and watch the shenanigans!

May time be distorted for you in the best possible way this new year! Happy 2018.