Firm coming in published me: result! (7)
I believe the answer is:
outcome
'result' is the definition.
(I know that result can be written as outcome)
'firm coming in published me' is the wordplay.
'firm' becomes 'co' (a firm is a company).
'coming in' indicates putting letters inside.
'published' becomes 'out' (I've seen this in other clues).
'out'+'me'='outme'
'co' placed within 'outme' is 'OUTCOME'.
(Other definitions for outcome that I've seen before include "Consequence, upshot" , "Cute moo (anag.)" , "'Result, upshot (7)'" , "Result or consequence" , "consequences" .)