Priest with time to drink cool beer (4)
I believe the answer is:
pint
'beer' is the definition.
(beer is typically served by the pint)
'priest with time to drink cool' is the wordplay.
'priest' becomes 'p' (ecclesiastical abbreviation).
'with' is a charade indicator (letters next to each other).
'time' becomes 't' (abbreviation).
'to drink' indicates putting letters inside.
'cool' becomes 'in' ('in' can mean fashionable or cool).
'p'+'t'='pt'
'pt' placed around 'in' is 'PINT'.
(Other definitions for pint that I've seen before include "Liquid measure" , "Measure of the plain man's alcoholic drink" , "Liquid meassure - four gills" , "The working man's beer measure" , "Standard measure of Guinness" .)