Company’s right group stays (6)
I believe the answer is:
corset
'stays' is the definition.
(stays can refer to a corset)
'company's right group' is the wordplay.
'company' becomes 'co' (abbreviation).
'right' becomes 'r' (common abbreviation).
'group' becomes 'set'.
'co'+'r'+'set'='CORSET'
(Other definitions for corset that I've seen before include "Shaping undergarment" , "Sector (anag)" , "Tight bodice" , "Tight-fitting undergarment" , "fat controller?" .)