Question a learned cleric put in to annoy (6)
I believe the answer is:
riddle
'question' is the definition.
(riddle is a kind of question)
'a learned cleric put in to annoy' is the wordplay.
'a learned cleric' becomes 'dd' (I've seen this in other clues. I am not sure about the 'learned' bit.).
'put in' is an insertion indicator.
'to annoy' becomes 'rile' ('rile' can be a synonym of 'annoy').
'dd' put within 'rile' is 'RIDDLE'.
Can you help me to learn more?
(Other definitions for riddle that I've seen before include "Cryptic statement" , "Run through" , "Perforate with gunshot - poser" , "Strain" , "Ingenious question" .)