"Paper ____" (4)
'paper' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for essay that I've seen before include "Analytic or interpretive literary composition (5_" , "Try; dissertation" , "Old experiment" , "Endeavour" , "Written academic work" .)
(Other definitions for moon that I've seen before include "show a lot of cheek" , "Expose one's buttocks" , "down one's pants" , "Remove boxers, maybe" , "crescent perhaps" .)