Stamp down on drink with journalists (8)
I believe the answer is:
suppress
'stamp down' is the definition.
('suppress' can be a synonym of 'stamp down')
'drink with journalists' is the wordplay.
'drink' becomes 'sup' (I've seen this before).
'with' means one lot of letters go next to another.
'journalists' becomes 'press' (I've seen this before).
'sup'+'press'='SUPPRESS'
'on' is the link.
(Other definitions for suppress that I've seen before include "Restrain - crush" , "Hush up, keep hidden" , "Prevent, inhibit" , "Keep down, hold back" , "'Crush, keep down (8)'" .)