Puts on by degrees? (6)
I believe the answer is:
stages
This clue is a double definition.
'puts on' is the first definition.
(I've seen this in another clue)
'degrees?' is the second definition.
('stage' can be a synonym of 'degree')
'by' acts as a link.
(Other definitions for stages that I've seen before include "Phases" , "Platforms for performances" , "Theatrical platforms or portions of a journey" , "Sagest venues for plays" , "Parts of a process" .)