Cleric giving Rod a chance to improve (10)
I believe the answer is:
archdeacon
'cleric' is the definition.
(I know that archdeacon is a type of Christian minister)
'rod a chance to improve' is the wordplay.
'to improve' is an anagram indicator.
'rod'+'a'+'chance'='rodachance'
'rodachance' with letters rearranged gives 'ARCHDEACON'.
'giving' acts as a link.
(Other definitions for archdeacon that I've seen before include "ecclesiastical dignitary" , "Anglican clergyman" , "Church dignitary" , "Member of clergy" , "Church official" .)