Go with crew to record how ministries are structured (14)
I believe the answer is:
departmentally
'how ministries are structured' is the definition.
'go with crew to record' is the wordplay.
I cannot really understand how this works, but
'go' could be 'depart' ('depart' can be a synonym of 'go') and 'depart' is present in the answer.
'crew' could be 'men' (I've seen this before) and 'men' is found within the answer.
'record' could be 'tally' (tallying is a kind of recording) and 'tally' is found within the answer.
No letters remain.
This may be the basis of clue (or it may be nonsense).
(Other definitions for departmentally that I've seen before include "In small groups" , "how a big firm should be organised?" .)