Unorthodox conclusion rejects son for governing body (7)
I believe the answer is:
council
'governing body' is the definition.
(I've seen this before)
'unorthodox conclusion rejects son' is the wordplay.
'unorthodox' is an anagram indicator.
'rejects' is a deletion indicator.
'conclusion' with 'son' taken away is 'ccluion'.
'ccluion' is an anagram of 'COUNCIL'.
'for' acts as a link.
(Other definitions for council that I've seen before include "Body found in town hall" , "Elected body organising, say, county affairs" , "local authority" , "Body of advisors" , "legislative body" .)