Boss on paper may see rising tendency suppressing men (6)
I believe the answer is:
editor
'boss on paper' is the definition.
'rising tendency suppressing men' is the wordplay.
'rising' says the letters should be written backwards (going up in a down clue).
'tendency' becomes 'tide'.
'suppressing' means one lot of letters go next to another (in a down clue, some letters go on top of others).
'men' becomes 'or' (I've seen this in other clues).
'tide' written backwards gives 'edit'.
'edit'+'or'='EDITOR'
'may see' is the link.
(Other definitions for editor that I've seen before include "Senior publisher" , "Person in charge of paper" , "Director of newspaper" , "cutter?" , "Paper head" .)