What would you call a person that doesn't care for your personal space and is kind-of sticky and doesn't get the hint that people are awkward around him/her and generally avoid him/her?
closed as primarily opinion-based by Kit Z. Fox♦ May 23 '14 at 11:39
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Intruder and busybody may fit you description I think.
I would call such a person "Clingy". It is mainly used for people who try to stick around all the time more than you want them to.
That person might be a Personal Space Invader
If this is a case of the person not understanding proxemics, and say, standing too close to you when you talk, I would call him or her a close talker.
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I would call him stubborn. A stubborn man does not care for our personal space.