Meta post How long does it take for chat profiles to update? says it can take up to an hour. This can be quite annoying for a new user who joins chat and then wants to customise their appearance. Please add a button where one can refresh one's profile using the same technology as what the moderators can use. There is no need to bother moderators with mundane tasks like this.
If it is too resource intensive to allow this freely, add in an appropriate time-based quota, like we have it with posting many chat messages in a short time span and changing ones username.