Cricketer is mad at first about duke’s censorship (10)
I believe the answer is:
bowdlerism
'censorship' is the definition.
(I know that Bowdlerism is a type of censorship)
'cricketer is mad at first about duke's' is the wordplay.
'cricketer' becomes 'bowler' (bowler is a kind of cricketer).
'is mad at first' becomes 'ism' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'about' means one lot of letters goes inside another.
'duke' becomes 'd' (abbreviation).
'bowler'+'ism'='bowlerism'
'bowlerism' placed around 'd' is 'BOWDLERISM'.
Can you help me to learn more?
(Another definition for bowdlerism that I've seen is " clean-up operation".)