Part of theatre, chic, recalled regularly (6)
I believe the answer is:
circle
'part of theatre' is the definition.
('circle' is part of 'theatre')
'chic recalled regularly' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'chic'+'recalled'='chicrecalled'
The alternating letters of 'chicrecalled' are 'CIRCLE'.
(Other definitions for circle that I've seen before include "Move around (something)" , "Number of people bound together by similar interests - sound round" , "Group with shared profession or acquaintances" , "Group (of people); go round" , "Group; move round" .)