Society all about honour and race (6)
I believe the answer is:
slalom
'race' is the definition.
('slalom' means to move in a zigzag)
'society all about honour' is the wordplay.
'society' becomes 's' (common abbreviation in names of organisations).
'about' indicates an anagram.
'honour' becomes 'om'.
'all' is an anagram of 'lal'.
's'+'lal'+'om'='SLALOM'
'and' acts as a link.
(Other definitions for slalom that I've seen before include "Downhill ski-race over a winding course" , "Ski race down zig-zag course" , "Skiers' obstacle race" , "Downhill ski event" , "Winding ski-run" .)