Do planes get wet flying though clouds?

Yes, but it's not like travelling through water or rain. Clouds are especially steam so because of the higher spacing between the water particles the plane would not get very wet as well as the fact that the plane is warmer and moving quickly this means you won't really notice if you are in a plane and why it will not damage a plane. You could think of it like driving through fog, you do get kinda wet, but it is more like being mildly dampened.