Like the agonised cries father let out (9)
I believe the answer is:
heartfelt
'like the agonised cries' is the definition.
I can't tell whether this definition defines the answer.
'father let out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'father'+'let'='fatherlet'
'fatherlet' is an anagram of 'HEARTFELT'.
Can you help me to learn more?
(Other definitions for heartfelt that I've seen before include "With sincere passion" , "Profound" , "Sincerely intended with strong feeling" , "Most fervent in cardiac way" , "Let father have deep and earnest kind of emotion (9)" .)