Warm greeting where the writer's put up couple (7)
I believe the answer is:
embrace
'warm greeting' is the definition.
(an embrace is a warm or fond greeting)
'the writer's put up couple' is the wordplay.
'the writer' becomes 'me' (the person who wrote the clues).
'put up' says the letters should be written backwards.
'couple' becomes 'brace' (brace can mean a pair of something).
'me' reversed gives 'em'.
'em'+'brace'='EMBRACE'
'where' is the link.
(Other definitions for embrace that I've seen before include "Hold affectionately" , "Accept; hold closely" , "Loving hug" , "squeeze" , "Include - hug" .)