1. sexually unrestrained; lascivious; libertine; lewd.
2. unrestrained by law or general morality; lawless; immoral.
3. going beyond customary or proper bounds or limits; disregarding rules.
Greek gods, most notably Zeus, were licentious beings, often lusting after others (oftentimes mortals) who were not their wives. While Zeus was happy to see his children all over Greece, one can see why Hera would be as cranky as many stories make her out to be.