Pay attention to the man with press chief (4)
I believe the answer is:
heed
'pay attention to' is the definition.
(eg to heed a warning is to pay attention to it)
'the man with press chief' is the wordplay.
'the man' becomes 'he' (pronoun for a man).
'with' means one lot of letters go next to another.
'press chief' becomes 'ed' (editor).
'he'+'ed'='HEED'
(Other definitions for heed that I've seen before include "Take note of" , "Listen to carefully" , "Observe" , "Take to heart" , "Regard" .)