Let by a middle-man in Leeds, possibly (6)
I believe the answer is:
leased
'let' is the definition.
(I've seen this before)
'a middle-man in leeds possibly' is the wordplay.
'a middle' says to take the centre.
'in' means one lot of letters goes inside another.
'possibly' indicates anagramming the letters.
The central letter of 'man' is 'a'.
'leeds' anagrammed gives 'lesed'.
'a' put within 'lesed' is 'LEASED'.
'by' acts as a link.
(Other definitions for leased that I've seen before include "Rented" , "Let for money" .)