That woman's rising musical ability makes us listen again (6)
I believe the answer is:
rehear
'listen again' is the definition.
(I've seen this in another clue)
'that woman's rising musical ability' is the wordplay.
'that woman' becomes 'her' (her refers to a woman).
'rising' says the letters should be written in reverse (going up in a down clue).
'musical ability' becomes 'ear' (I've seen this in another clue).
'her' backwards is 'reh'.
'reh'+'ear'='REHEAR'
'makes us' is the link.
(Other definitions for rehear that I've seen before include "be a sympathetic listener, not for the first time" , "Hold the trial again." , "Retry (a lawsuit)" , "Try again (in court)" .)