Guise plays Lemme See That on a piece of equipment. Later, that equipment is destroyed. What happens to the "Lemme See That" card?
A) It's destroyed.
B) It stays where it was, although nothing is next t it now.
C) It moves next to the trash pile that the equipment is in.
The difference between B and C is just cosmetic, I suspect, but if there's a good argument for A, that could make a difference in some situations.
In any case, it's pretty clear that Guise can't use that equipment any more.
Lemme See That stays where it is until the Start of Guise's turn, when it is destroyed.