Famous school rejected by daughter (5)
I believe the answer is:
noted
'famous' is the definition.
('noted' can be a synonym of 'famous')
'school rejected by daughter' is the wordplay.
'school' becomes 'eton' (famous UK public school**).
'rejected' says the letters should be written backwards.
'by' is a charade indicator (letters next to each other).
'daughter' becomes 'd'.
'eton' written backwards gives 'note'.
'note'+'d'='NOTED'
(Other definitions for noted that I've seen before include "Significant" , "Observed - recorded" , "Famed" , "Remarked - famous" , "Observed - famous" .)