There are no doctors in Clayton. If you need medical attention, the closest you can go to is Albrook. There is a private clinic there that is very cheap where you can go in and see the doctor for about US $20. Some of the doctors there speak some English, but not all of the receptionists do.
When you're in Clayton, you're only about 15 minutes outside of Panama City, if there is not traffic, so if you need medical care, you can easily go to one of the top hospitals in Panama City where there are plenty of excellent English-speaking doctors.