Leer back and stagger (4)
I believe the answer is:
reel
'stagger' is the definition.
('reel' can be a synonym of 'stagger')
'leer back' is the wordplay.
'back' says the letters should be written in reverse.
'leer' reversed gives 'REEL'.
'and' acts as a link.
(Other definitions for reel that I've seen before include "Drum - dance - music" , "wind-up?" , "Dance; winding cylinder" , "Dance - bobbin - stagger" , "Whirl around" .)