They can be used as progress clocks, timers, or usage indicators. Some ideas:
For chases or hunts, use the left one for the party and the right one for the enemy. Every time the party advances, fill in some of the clock. Same with the enemy. If the enemy catches up to the party, a battle occurs.
Fill in a section for each investigation-type check the party makes. Once filled in, something happens (the ritual is complete?)
Use it to indicate how long the torches will last, before the dungeon goes dark
Or mark an outer section, like the 8, and roll a d12. If you get 8 or more, an event happens.