Satisfied with a quarter measure (4)
I believe the answer is:
mete
'measure' is the definition.
(thesaurus)
'satisfied with a quarter' is the wordplay.
'satisfied' becomes 'met' ('meet' can be a synonym of 'satisfy').
'with' is a charade indicator (letters next to each other).
'a quarter' becomes 'e'.
'met'+'e'='METE'
(Other definitions for mete that I've seen before include "Dispense, give (out)" , "To - out is to dispense (eg, justice)" , "Dish (out)" , "Dole (out)" , "Administer or hand out" .)