Wow! Little girl makes university (7)
I believe the answer is:
cornell
'university' is the definition.
(I know that Cornell is a university)
'wow little girl' is the wordplay.
'wow' becomes 'cor' (both are expressions of surprise).
'little girl' becomes 'Nell' (Little Nell, character in The Old Curiosity Shop).
'cor'+'nell'='CORNELL'
'makes' acts as a link.
(Other definitions for cornell that I've seen before include "US university" , "University in Ithaca, New York" .)