demanding someone's total attention and love.
"as soon as she'd been out with a guy a few times, he'd get possessive"
synonyms: proprietorial, overprotective, controlling, dominating, jealous, clingy
"he was very possessive"
"I don't like it when people flirt with you." -Jjk
"I'm not the jealous type, but what's Mine is Mine." -Kth