Senior ministers in queue perhaps store hard copies here? (6,7)
I believe the answer is:
filing cabinet
'store hard copies here?' is the definition.
(where records are stored)
'senior ministers' is the wordplay.
'senior' becomes 'filing' (I can't explain this - if you can you should believe this answer much more).
'ministers' becomes 'cabinet' (I've seen this before).
'filing'+'cabinet'='FILING CABINET'
'in queue perhaps' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
(Other definitions for filing cabinet that I've seen before include "Where documents are found" , "where records are kept" , "Set of drawers for documents" , "Traditional receptacle for written data" , "Document storage unit" .)