Pulls the grass up (5)
I believe the answer is:
draws
'pulls' is the definition.
(I know this)
'grass up' is the wordplay.
'grass' becomes 'sward' (literary term for grass).
'up' shows that the letters should be reversed in order (in down clue: letters go upwards).
'sward' written backwards gives 'DRAWS'.
'the' is the link.
(Other definitions for draws that I've seen before include "Raffles" , "Pulls" , "Sketches" , "lugs" , "Gets out" .)