Shouldn’t it be compilation and not complication???
back in the old days when clocks were mechanical and you wanted a chime on the hour that required a different mechanism and that was a complication for the clock maker to solve.
A really complication clock might have different number of chimes for each hour, a coo-coo bird or gnome spinning.
That is why they are called complications for time pieces even in electronic watches.
Samsung Developer Relations
More info here:
Complication (horology) - Wikipedia