Investigates tense gangster finding religious office (10)

I believe the answer is:

priesthood

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'religious office' is the definition.

'investigates tense gangster' is the wordplay.
'investigates tense' becomes 'priest' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'gangster' becomes 'hood' (I've seen this before).
'priest'+'hood'='PRIESTHOOD'

'finding' is the link.

Can you help me to learn more?

(Other definitions for priesthood that I've seen before include "Minister's office" , "cleric's office" , "office in church" , "future for seminarian" , "Ordained order" .)

I've seen this clue in The Telegraph.

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