Darling at university given a flower (7)
I believe the answer is:
petunia
'flower' is the definition.
(type of flower)
'darling at university given a' is the wordplay.
'darling' becomes 'pet' (both are terms of endearment).
'at' says to put letters next to each other.
'university given' becomes 'uni' (I can't explain this - if you can you should give a lot more credence to this answer).
'pet'+'uni'+'a'='PETUNIA'
(Other definitions for petunia that I've seen before include "Common garden plant" , "Auntie foolishly made under pressure" , "Colourful" , "Common garden 13 across" , "Common bedding plant" .)