Cause and diagnosis of wobbling crankset/chainring
For me, that clicking sound nails the diagnosis - the only thing I have ever seen that causes that is an issue with your bottom bearing - either it isn't tightened up enough, or the bearings are worn and can slip. As you put maximum torque on a pedal, a loose fit on your bearing allows the crank to force movement in the bearings outside the bearing race. They can then click back in as pressure is released.

This matches up with having a "wobble" in your chain ring.

Tightening things back up can very easily have solved your issue - although be aware of any future problems, as the time you spent with the clicking noise would have induced more wear. I had this problem many years ago, and ignored it (I know...) and by the time I got round to looking at it I had to replace a number of components that were damaged...