Taxi home extremely efficient for ministers (7)
I believe the answer is:
cabinet
'for ministers' is the definition.
(government ministers)
'taxi home extremely efficient' is the wordplay.
'taxi' becomes 'cab' (synonyms).
'home' becomes 'in' ('he's home' can mean 'he's in').
'extremely' means to remove the middle letters (only the extremes of the word are used).
'efficient' with its centre removed is 'et'.
'cab'+'in'+'et'='CABINET'
(Other definitions for cabinet that I've seen before include "bed" , "some senior politicians" , "Government committee" , "Cupboard; committee" , "Chiffonier" .)