Live on own, and conduct oneself properly (6)
I believe the answer is:
behave
'conduct oneself properly' is the definition.
(I've seen this before)
'live on own' is the wordplay.
'live' becomes 'be' (synonyms).
'on' means one lot of letters go next to another.
'own' becomes 'have' (synonyms).
'be'+'have'='BEHAVE'
'and' acts as a link.
(Other definitions for behave that I've seen before include "Act in a specified way" , "Act in a certain manner" , "Act, conduct oneself" , "Stop acting up!" , "Conduct oneself well" .)