Wheel studs, for sure. Same thing happened to me. 4 snapped off within 2 days off each other. The clicking noise would only happen if power was applied, or on certain angles, or even coasting (not pressing accelerator at all) under 2000rpm in gear.
Check that all wheel nuts are on properly and tightly. To do this, jack up each corner of the car (one at a time) and remove the wheel, put it back on, and take care to tighten each wheel nut properly.
While you're doing that, check that the thread on the studs is ok. If not, have them replaced.
Actually, the other thing it could be would be a CV? But I'd say wheel studs & nuts.