You can be stuck on many different things. With Layton I think the first thing that comes to peoples minds is being stuck on a difficult puzzle. But you could also be stuck dwelling on the past or be stuck in a literal way: Like being stuck in a ruin or a room (When I get to that prompt I may or may not be planning to do something with Randall being stuck in a small tunnel in the ruins of Norwell)
I hope that helps!