Well, clocks are just mechanical sundials. Before clockwise, there was sunwise (or deosil), and clocks' movements are based off of the movement of a shadow across a sundial.
Imagine you're in the Northern Hemisphere and you face east toward the rising sun. Over the course of the day, the sun will seem to move to the south, and then set in the west. This forms a "sunwise" turn, which is what we now call "clockwise" because we made clocks in imitation of sundials.
To your second question, the direction of clockwise is mostly influenced by sundials. In the northern hemisphere the shadows move in a clockwise direction, and so the early clocks made in the northern hemisphere mimicked that. In the southern hemisphere it's naturally reversed, but because so much of that hemisphere is either empty ocean or colonized lands, the clocks move in the same direction. Bolivia had a sort of flash in the pan moment in the news about a decade back for reversing their clock direction on a big central clock (think like big ben) as a way of staking their independence from a colonial past.
On the first question, I have no idea. But in Sweden they use terms that translates to "with the sun" and "against the sun" but I don't remember what they are without googling it.
In czech, we have a phrase "jak sa kráje chleba" (same way as a bread is sliced). Problem is, that (at least in my social group) nobody knows, wether it means clockwise or anticlockwise, as everybody slices the bread differently.
I don't have an answer for the original question, but what about just saying rotate right/left?
I mean, if I imagine a circle rolling on a flat surface, rotating right means the rotation that rolls the circle right (so clockwise rotation), and rotating left would be the opposite; where the circle rolls left.