An object with a centripetal force acting on it, at right angles to its motion, will never have any work done on it. Work is force applied through a distance. The centripetal force has no component in the direction of motion.
The net work done when an object moves in a circle, or any closed loop, in a conservative force field (such as gravity) is zero, even if the loop is angled vertically.
If an object moves along a non-horizontal circular path that isn't an orbit, it will have some work done on it at some instants, but the net-work is still zero.