Drink with university publishers and secretary (5)
I believe the answer is:
cuppa
'drink' is the definition.
(cuppa is a kind of drink)
'university publishers and secretary' is the wordplay.
'university publishers' becomes 'CUP' (Cambridge University Press).
'and' is a charade indicator (letters next to each other).
'secretary' becomes 'PA' (abbreviation for personal assistant).
'cup'+'pa'='CUPPA'
'with' acts as a link.
(Other definitions for cuppa that I've seen before include "Drink of tea (informal)" , "Drink of tea (colloq.)" , "Refreshing brew" .)