I think that the photo was taken the same day when CC, Max LINDER, and Robert FLOREY paid a visit to Doug FAIRBANKS on the set of Robin Hood (see your post http://www.discoveringchaplin.com/2013/08/charlie-max-linder-visit-douglas.html). CC wears exactly the same clothes, tie included.D.
Yes, you're right! And I think there's another photo somewhere that shows Robert Florey.
Oooooooh. Chawlie be look'n gangstah.