Let out the smallest amount say (6)
I believe the answer is:
leased
'let out' is the definition.
(as in leasing or letting out property)
'smallest amount say' is the wordplay.
'smallest amount' becomes 'least' (I've seen this before).
'say' shows a homophone (sound like).
'least' is a homophone of 'LEASED'.
'the' is the link.
(Other definitions for leased that I've seen before include "Let for money" , "Rented" .)