One very meticulous stage work (3,9)
I believe the answer is:
the caretaker
I believe this clue is a double definition.
'one very meticulous' is the first definition.
(meticulous means taking care)
'stage work' is the second definition.
(play by Harold Pinter)
(Other definitions for the caretaker that I've seen before include "Drama" , "Play by Harold Pinter" , "1960 Pinter play" , "stage production" .)