Trough enthrals area supervisor (7)
I believe the answer is:
manager
'supervisor' is the definition.
(thesaurus)
'trough enthrals area' is the wordplay.
'trough' becomes 'manger' ('manger' can be a synonym of 'trough').
'enthrals' is an insertion indicator.
'area' becomes 'a' (maths abbreviation).
'manger' going around 'a' is 'MANAGER'.
(Other definitions for manager that I've seen before include "One running a shop, industry etc" , "Sports team controller" , "suit?" , "Sports team runner" , "Organiser" .)