Greener pasture close to edge, tree-covered (7)
I believe the answer is:
leafier
'greener' is the definition.
(green can mean leafy)
'pasture close to edge tree-covered' is the wordplay.
'pasture' becomes 'lea' (both can mean a field).
'close to' says to take the final letters (the 'close' to the word).
'tree' becomes 'fir' (fir is a kind of tree).
'covered' indicates putting letters inside.
The final letter of 'edge' is 'e'.
'e' going inside 'fir' is 'fier'.
'lea'+'fier'='LEAFIER'
(Other definitions for leafier that I've seen before include "more rural" , "more green" , "Having more foliage" , "sort of suburb" .)