I thought of that. My kid is in the medical field and has to wash hand all the time. We can't find a solution to the chapped hands issue. It's a huge problem. Gloves?
Gloves don't work without handwashing. I'm a hospital nurse, and we wash hands or use sanitizer before touching a patient and after we finish. It's essential.
On the other hand, when was the last time your doctor washed his hands before touching you?
Think about it.
There is no way to prevent it. The hands need to be scrubbed. Period.