Exaggerated gestures around the side (4)
I believe the answer is:
edge
'the side' is the definition.
(edge is a kind of side)
'exaggerated gestures around' is the wordplay.
'around' says the answer is hidden in the clue.
'EDGE' is hidden within 'exaggerated gestures'.
(Other definitions for edge that I've seen before include "Skirt" , "Border, fringe" , "'Margin, rim (4)'" , "Margin, fringe" , "Surface boundary" .)