Very little mail is misdirected to the ministry (7)
I believe the answer is:
minimal
'very little' is the definition.
(I've seen this before)
'mail is misdirected to the ministry' is the wordplay.
'is misdirected' indicates anagramming the letters (I've seen this in other clues).
'to' means one lot of letters go next to another (I've seen this in other clues).
'the ministry' becomes 'min' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'mail' anagrammed gives 'imal'.
'imal' put after 'min' is 'MINIMAL'.
Can you help me to learn more?
(Other definitions for minimal that I've seen before include "barely worth considering" , "Very little" , "Of the least possible size" , "Very small, the least possible (7)" , "Token" .)