With men in Kent, overhauled computer system (7)
I believe the answer is:
network
'computer system' is the definition.
'with men in kent overhauled' is the wordplay.
I cannot quite see how this works, but
'with' could be 'w' (abbreviation) and 'w' is present in the answer.
'men' could be 'or' (I've seen this in other clues) and 'or' is found in the answer.
an anagram of 'kent' is 'netk' which is present in the left over letters.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for network that I've seen before include "Lattice" , "Intricately connected system" , "Arrangement" , "Keep up with contacts" , "broadcasting group" .)