Large organ broke? Not quite (4)
I believe the answer is:
skin
'large organ' is the definition.
(I've seen this in another clue)
'broke? not quite' is the wordplay.
'broke?' becomes 'skint' (both can mean struggling financially).
'not quite' means to remove the last letter (most but not all of the word).
'skint' with its final letter taken away is 'SKIN'.
(Other definitions for skin that I've seen before include "Fell" , "Protective body covering" , "External surface" , "Flense" , "Thin outer layer" .)