System of rule in chaos — go charily (9)
I believe the answer is:
oligarchy
'system of rule' is the definition.
'chaos go charily' is the wordplay.
'chaos' indicates anagramming the letters.
'go'+'charily'='gocharily'
'gocharily' is an anagram of 'OLIGARCHY'.
'in' is the link.
(Other definitions for oligarchy that I've seen before include "Government by small elite" , "Form of government with power held by a few" , "a few men in government" , "Political system of government by a few people" , "Rule of the few" .)