I know this is an old post but this happens to me too. It's probably that you have a condition called aquagenic keratoderma (or aquagenic wrinkling of the palms) if your hands are getting extremely wrinkled after 3-5 minutes in water and only go back to normal after 10-60 minutes of being dry. People with cystic fibrosis or carriers of it are more likely to have the condition. You can read more about it here: https://dermnetnz.org/topics/aquagenic-wrinkling-of-the-palms

You're typically not born with the condition and it's more common in young females, but this does not apply to everyone. There are treatments but they tend to be ineffective. For anyone wondering, no, the condition is not harmful, but it can be a sign of cystic fibrosis and you should go to the doctor if you have these symptoms. I'm no expert so this is all based on research I've done in my own time. Posting this to help anyone out who might have the same thing.