Haughty person regularly taking daughter round university (5)
I believe the answer is:
proud
'haughty' is the definition.
('proud' can be similar in meaning to 'haughty')
'person regularly taking daughter round university' is the wordplay.
'regularly taking' means one should take alternating letters.
'daughter' becomes 'd'.
'round' is an insertion indicator.
'university' becomes 'u'.
The alternating letters of 'person' are 'pro'.
'pro'+'d'='prod'
'prod' enclosing 'u' is 'PROUD'.
(Other definitions for proud that I've seen before include "Self-respecting or self-important" , "Walking tall" , "Conscious of one's own dignity" , "Haughty; projecting a little" , "Haughty - sticking out" .)