Cried like a corvid deprived of heart, so we hear (5)
I believe the answer is:
cawed
'cried like a corvid' is the definition.
(corvids make cawing sounds)
'deprived of heart so we hear' is the wordplay.
'deprived of heart' becomes 'cored' (having the heart or core removed).
'so we hear' shows a homophone (sound like).
'cored' is a homophone of 'CAWED'.
(Other definitions for cawed that I've seen before include "Made the sound of a crow" , "Croaked" .)