Rent hill, we hear (4)
I believe the answer is:
tore
'rent' is the definition.
('rend' and 'tear' both mean to rip something)
'hill we hear' is the wordplay.
'hill' becomes 'tor' (tor is a kind of hill).
'we hear' becomes 'e' (I've seen this in other clues).
'tor'+'e'='TORE'
(Other definitions for tore that I've seen before include "Ripped; moved quickly" , "came apart" , "Ripped; went fast" , "Ran" , "Was moving very quickly" .)