A bit of publicity – and little time for paperwork (5)
I believe the answer is:
admin
'paperwork' is the definition.
(administrative work)
'a bit of publicity and little time' is the wordplay.
'a bit of publicity' becomes 'ad' (short for advert).
'and' means one lot of letters go next to another.
'little time' becomes 'min' (short for minute).
'ad'+'min'='ADMIN'
'for' is the link.
(Other definitions for admin that I've seen before include "Business organisation" , "Paperwork (informal)" , "Paperwork (abbr)" , "Business organisers" , "Management (abbr.)" .)