Famous school put up with daughter (5)
I believe the answer is:
noted
'famous' is the definition.
('noted' can be a synonym of 'famous')
'school put up with daughter' is the wordplay.
'school' becomes 'eton' (famous UK public school**).
'put up' says the letters should be written in reverse.
'with' means one lot of letters go next to another.
'daughter' becomes 'd'.
'eton' reversed gives 'note'.
'note'+'d'='NOTED'
(Other definitions for noted that I've seen before include "Toned (anag.)" , "Wrote it down" , "Remarked - famous" , "saw" , "Scores like this" .)