Writer developed a cure after church (7)
I believe the answer is:
chaucer
'writer' is the definition.
(Chaucer is an example)
'developed a cure after church' is the wordplay.
'developed' indicates an anagram.
'after' is a charade indicator (letters next to each other).
'church' becomes 'ch' (abbreviation on maps etc).
'a'+'cure'='acure'
'acure' is an anagram of 'aucer'.
'aucer' after 'ch' is 'CHAUCER'.
(Other definitions for chaucer that I've seen before include "English poet (1340-1400)" , "Geoffrey -, fourteenth century poet" , "Poet known as the father of English literature, d. 1400" , "Geoffrey . . . . . . . wrote 'The Canterbury Tales'" , "Geoffrey ---, C14 poet" .)