I feel like this would be a nice implementation. This could add an extra level of complexity to describing an individual because a lot of people resort to using default descriptions, and constantly change their stats to stay anonymous. With that being said, the description could look like this, with the locked one on top and the custom one on the bottom:
Unknown <--- Name
"Height | Weight | Eye Color | Nationality | Left Ring Finger is Missing" <--- Permanent Description (The Finger is if they lost it)
"blah blah blah" <--- Custom Description
"This individual is on a 15/30 minute cooldown" (If they've just done a mugging/RP thing and are on cooldown)