Greens succeeded getting area covered by press (7)
I believe the answer is:
spinach
'greens' is the definition.
(spinach is a kind of greens)
'succeeded getting area covered by press' is the wordplay.
'succeeded' becomes 's' (genealogical abbreviation).
'getting' says to put letters next to each other.
'area' becomes 'a' (maths abbreviation).
'covered by' means one lot of letters goes inside another.
'press' becomes 'pinch' (pinch is a kind of press).
'a' placed inside 'pinch' is 'pinach'.
's'+'pinach'='SPINACH'
(Other definitions for spinach that I've seen before include "Popeye's vegetable" , "Dark green vegetable" , "Leafy vegetable" , "Leaf vegetable" , "Popeye's strength-giver" .)