Controlled by abductor, one of the Men in Black? (10)
I believe the answer is:
undertaker
'one of the men in black?' is the definition.
(undertakers typically wear black)
'controlled by abductor' is the wordplay.
'controlled by' becomes 'under' (as in working 'under' a supervisor or manager).
'abductor' becomes 'taker' (someone who abducts).
'under'+'taker'='UNDERTAKER'
(Other definitions for undertaker that I've seen before include "He'll deal with passing" , "One passing dangerously" , "Funeral director" , "One making promises" .)