A daughter getting US university grant (5)
I believe the answer is:
admit
'grant' is the definition.
(grant can mean to agree or admit something)
'a daughter getting us university' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'getting' is a charade indicator (letters next to each other).
'us university' becomes 'MIT' (Massachusetts Institute of Technology).
'a'+'d'+'mit'='ADMIT'
(Other definitions for admit that I've seen before include "Allow entry" , "Grant entry to" , "Come clean" , "receive" , "permit to come in" .)