I was at a dentist today, too, with my daughter.
First thing, we were directed to hand sanitizer. Then I signed a declaration about (not) testing positive, having symptoms, meeting people with symptoms, meeting people who tested positive, meeting officially quarantined people, etc. during last two weeks. I did have symptoms but it ended over 4 weeks ago, so okay, I signed with my conscience clear, whatever it was, I'm not spreading it now.
I was wearing my cotton face mask all the time, it was obvious to me, my daughter was the patient. The dentist wore just a regular surgical mask, her assistant wore a surgical mask and... I don't know English expression for it but it's quite popular where I live:

Also, both wore caps on their hair.
Otherwise, the dentist works normally.
I guess it might become commonly expected to wash or sanitize your hands when entering any place.
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Let's not confuse being normal with being mentally healthy.
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