Conduct work after fleecing board member (8)
I believe the answer is:
director
'board member' is the definition.
(I've seen this before)
'conduct work after fleecing' is the wordplay.
'conduct' becomes 'direct' (synonyms).
'after fleecing' says to take the centre (the coat or fleece of the word is removed).
The middle of 'work' is 'or'.
'direct'+'or'='DIRECTOR'
(Other definitions for director that I've seen before include "Manager, governor" , "One who controls resources and expenditures" , "He makes films or runs companies" , "Record it (anag.)" , "Big cheese" .)