Dandy around university runs business department (6)
I believe the answer is:
bureau
'business department' is the definition.
(a department in a particular business or field)
'dandy around university runs' is the wordplay.
'dandy' becomes 'beau' (synonyms).
'around' indicates putting letters inside.
'university' becomes 'u'.
'runs' becomes 'r' (cricket abbreviation).
'u'+'r'='ur'
'beau' enclosing 'ur' is 'BUREAU'.
(Other definitions for bureau that I've seen before include "Government department, agency" , "Room" , "Wtiting desk" , "Item of furniture" , "Office; writing desk" .)