To me, there are two ways for it to be interesting
A) It's something the characters discuss and work on. Maybe jealousy is a flaw they need to talk through. Maybe the bad behavior gives a good chance to talk about lack of trust in the relationship.
I can see why people find jealousy sexy/flattering, since it feels like being valued, and I do think it's a natural human emotion, but I've seen too many actually jealous creeps to find it cute or funny.
B) For horror. Honestly, possessiveness scares the fuck out of me. A bit of jealousy is normal, but when it gets to like... punishing somebody for being jealous, that's terrifying. And that's okay if the author agrees.