Some in hierarchy, perhaps, will get publicity (4)
I believe the answer is:
hype
'publicity' is the definition.
(hype is a kind of publicity)
'some in hierarchy perhaps will' is the wordplay.
'some in' indicates a hidden word.
'HYPE' is hidden in the letters of 'hierarchy perhaps will'.
'get' acts as a link.
(Other definitions for hype that I've seen before include "Puffery" , "Exaggerated advocacy" , "Overdo promotion" , "Artificially induced excitement" , "Blatant or sensational promotion" .)