I had the same thing years ago when I was a teenager a I washed dishes 4+ hours a day. That was before automatic dishwashers were common. OK when I wore rubber gloves it made the problem worse. My hands would perspire, or drips of water went into gloves. The pain was unbearable. I had to stop washing dishes immediately until things healed up. Nowadays, there is a product called "Gloves in A Bottle. You put that on, let it dry, then use rubber gloves. Or it will protect your skin when you put your hands into water for a limited amount of time. The bottom line is you can only abuse your skin so much before you have problems.