Clergymen or board members Di dismissed (7)
I believe the answer is:
rectors
'clergymen' is the definition.
(rector is a kind of clergyman)
'board members di dismissed' is the wordplay.
'board members' becomes 'directors' (I've seen this before).
'dismissed' indicates named letters should be taken away.
'directors' with 'di' taken out is 'RECTORS'.
'or' acts as a link.
(Other definitions for rectors that I've seen before include "ministers" , "Clergymen" .)