Inclined to admonish a child found in quarry (7)
I believe the answer is:
preachy
'inclined to admonish' is the definition.
(preachy can mean likely to admonish or criticise)
'a child found in quarry' is the wordplay.
'child' becomes 'ch' (abbreviation for child).
'found in' is an insertion indicator.
'quarry' becomes 'prey' (synonyms).
'a'+'ch'='ach'
'ach' going into 'prey' is 'PREACHY'.
(Other definitions for preachy that I've seen before include "Given to tedious moralising" , "Tediously moralistic" , "Sanctimonious" .)