MASTER OF ALL MOVES: At the beginning of your turn, you may turn Taskmaster's dial to another click. If you do, at the end of your turn return him to the click he began the turn on.

So, if Tasky chooses to go to his last Flurry/Blades click, and has an action token and pushes himself, would he be KO'd, or go back to his original click at the end of his turn? Also, can he theoretically keep using Master of Evil to push himself every turn as long as he ic click switiching, then keep returning to his original click? Thanks.

He would go back to his original clix he started turn on, then take a click of pushing damage.

No.

It tells you to turn him back at the end of the turn, not when he would take damage. So all actions will resolve before the end of the turn.

If he pushes on his last click, he will be ko'ed.

I managed a critical miss on that click in Month 1. Yeah.