The antonym for "having law on" could be "lawless" or "unlawful". When something is "lawless", it means that there are no rules or regulations in place, and one can do anything without consequence. On the other hand, when something is "unlawful", it refers to something that is prohibited or not allowed by law. This can range from minor infractions, such as jaywalking, to more serious offenses like robbery and murder. In summary, the antonyms for "having law on" are "lawless" and "unlawful", which connote an absence of order and a lack of respect for the law, respectively.