New rates for rents (5)
I believe the answer is:
tears
'rents' is the definition.
('tear' can be a synonym of 'rent')
'new rates' is the wordplay.
'new' indicates anagramming the letters.
'rates' with letters rearranged gives 'TEARS'.
'for' is the link.
(Other definitions for tears that I've seen before include "See 1" , "Globules of ocular moisture" , "Moves very quickly" , "Water in eyes" , "exuding drops" .)