Over? I can't picture how that looks under.
@tdram said it might be nice if everyone had different uniforms. We've tried that at our hospital. Everyone was supposed to wear different colors to denote their roles. But some people really hated the color they were supposed to wear or really liked another color more. The highest status people, physicians and some nurses, rebelled first, and it trickled down pretty quickly. Now, we have a lot of scrub colors running around, but they are all meaningless.
At other hospitals nearby, they have begun to require that everyone wear specially embroidered scrubs with name and role written on your left upper chest. Of course, employees have to buy these out of pocket from a single hospital approved vendor and they aren't cheap, so it is another really unpopular policy.