The power a university has (7)
I believe the answer is:
faculty
'the power' is the definition.
(faculty is a kind of power)
'a university has' is the wordplay.
I cannot really see how this works, but
'a' is found in the answer.
'university' could be 'u' (abbreviation for university) and 'u' is found within the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for faculty that I've seen before include "Power to act" , "part of academic institution" , "Aptitude, talent" , "Group of university departments" , "Memory possibly" .)