The Arc AAA is a bit blue-tinted, but is otherwise an excellent choice. I'm sure somebody's going to say accurate color rendition is a must for medical use, but IMO for making rounds and checking wounds at the bedside it works well enough even if it's not perfectly white. The River Rock 2-AAA is also blue-tinted. The build quality of the Arc AAA is top-notch, and mine has stood up to being cleaned a few times with a surgical scrub brush after getting blood or other biological fluids on it.
A clicky switch is a definite plus, IMO. I prefer twisties for reliability, but for a frequently used light, I prefer the utility of a clicky tailswitch.
I use a Fenix L1P for everyday carry. I've heard the Mini-Mag clip fits the Fenix L1P, but I don't mind pocket carry and I'd rather not risk scratching the anodizing (the quality of the Fenix HA3 is not on par with Arc's or Peak's). I don't usually have a large inpatient census, so you may not find it as useful as I do: it would probably be cumbersome to change dressings or perform other bedside procedures that require two hands, using the L1P... but that's what the overhead room lights are for.
As for hanging the light on a neck lanyard or putting in one's mouth... yuck. No way would I do that for a light used in a health care setting, especially in a critical care setting, unless you're willing to wash your flashlight as often as your hands. (Link to story:
"Doctors' Ties Spreading Disease" )