An atmosphere dismissing current style is rebellious (8)
I believe the answer is:
anarchic
'rebellious' is the definition.
(I've seen this before)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for anarchic that I've seen before include "Totally without rules" , "Following no rules" , "Car chain (anag.)" , "Anti-government" , "Uncontrolled or lawless" .)