This torpor timer can be used to track a creature's Torpor over time and estimate how long you have until it wakes up.
Once you've knocked out a Yutyrannus, simply open its inventory to view its Torpor stat. Enter that stat into the timer and start the timer. Dododex is now synced with your Yutyrannus. (Note that in-game lag can sometimes cause the timer to fall slightly out of sync, however, if you notice a significant discrepancy with Dododex's rate, please report it.)
When you use narcotics in the game, tap the narcotics buttons on the torpor timer so that it stays synced.
A wild creature's torpor is determined by its level in the wild. The Yutyrannus begins with a base of 1550 Torpor at level 1. With each level, it increases by 93. Once tamed, a creature's torpor does not change.