Cool church after cold breeze (5)
I believe the answer is:
cinch
'breeze' is the definition.
(I know that breeze can be written as cinch)
'cool church after cold' is the wordplay.
'cool' becomes 'in' ('in' can mean fashionable or cool).
'church' becomes 'ch' (common abbreviation).
'after' means one lot of letters go next to another.
'cold' becomes 'c' (eg on taps).
'in'+'ch'='inch'
'inch' put after 'c' is 'CINCH'.
(Other definitions for cinch that I've seen before include "A walk in the park" , "In slang, a certainty or easy task" , "Something easily done" , "Doddle" , "piece of cake" .)