Stranger taking a rest at end of garden (5)
I believe the answer is:
alien
'stranger' is the definition.
('alien' can be a synonym of 'stranger')
'a rest at end of garden' is the wordplay.
'rest' becomes 'lie' (lying is a kind of resting).
'at end of' says to take the final letters.
The final letter of 'garden' is 'n'.
'a'+'lie'+'n'='ALIEN'
'taking' is the link.
(Other definitions for alien that I've seen before include "Foreign, strange" , "Not native" , "Clanger?" , "Otherworldly" , "24a [ESTRANGE]" .)