Bound criminal in each dungeon, initially (7)

I believe the answer is:

chained

'bound' is the definition.
('chained' can be similar in meaning to 'bound')

'criminal in each dungeon initially' is the wordplay.
'criminal' indicates anagramming the letters.
'initially' indicates taking the first letters.
The initial letter of 'dungeon' is 'd'.
'in'+'each'='ineach'
'ineach' is an anagram of 'chaine'.
'chaine'+'d'='CHAINED'

(Another definition for chained that I've seen is " In fetters".)

I've seen this clue in The Telegraph.

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