The public may be backward! (5)
I believe the answer is:
civic
'the public' is the definition.
(thesaurus)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for civic that I've seen before include "Relating to a city or town" , "Relating to citizens" , "This centre of town" , "Relating to citizenship or public affairs" , "Relating to a city/town" .)