A big part of the reason clock hands move in the direction they do is because of the direction the Earth rotates, as well as the fact that a significant portion of civilization happened to develop in the Northern Hemisphere.
The video goes into detail, but the big nugget here is about sundials. If you jab a stick into the ground to make a sundial (with the stick serving as the sundial's gnomon) in a Northern Hemisphere country like Egypt, the shadow you'd tell time by moves in a clockwise direction. That's due to the rotation of the Earth. If you made the same sundial in South Africa, located in the Southern Hemisphere, the shadow would move counterclockwise.