I'm also in the camp of: no unexpected house visits, surprise calls from the train station, or stalking. That's an end to the relationship.
I've dated very jealous Japanese women and was stalked before. Tremendously disliked those situations. So if a woman gives me signs of such behavior, I start to create distance or end it. Especially, since I embrace the swinger lifestyle, I prefer women who aren't jealous or selfish types. I have/do however get into non-swinging polyamorous relationships, which is good too.
Another group of negative behavior I'm not comfortable with, is a woman that tries to check up on you too much or acts like a jail warden (often due to insecurities). Particularly, when they are overly suspicious. Excessive probing questions, accusations, trying to break into my phone or search through my stuff, etc... I'm not a prisoner in a jail, and don't want any woman treating me like such, so will break off any such negative relationships.
Clingy, as to what exactly that is, can be more complicated. It's more case by case, and depends on the type of women. Some women are more submissive/masochistic types, so want their man to exert more control or dominance over them. I'm comfortable being a Dom, so the relationship can function very well at that level. My relationships are not always of that nature, and I can hook up with more independent or strong personality type women, as that can work well too.
My issue with clingy, is more if the woman is too immature/childish, too crazy, lacks intelligence, too silly, or doesn't know how to give any space. I find such women can be more like spoiled brat children, who create too much drama. That doesn't make for a good relationship. However, there are women, who make a bit of clingy or childish behavior work, so it's a more "depends" type of thing. Usually such women are very aware of what they are doing and are intelligent, so it's more of a role they like to play/be in, and has a kind of submissive vibe (but not quite). Sinapse description was kind of close, so we may be talking about similar behavior.
