While discussing the game, we stumbled across a missing but largely required mini mechanic; a usage timer.
This timer would be set off when any player does anything that requires a waiting time in the game. For example, when the burglar is cracking a safe open or picking a lock, it will show how long until you are done and have control over the character again. A guard would have it for arresting, or when they get stunned, etc, etc.
For each type of object and each instance, a different appropriate icon will appear in the middle of the timer.