Bella
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You've just described my older sister. That phone is always right by her side. Even if it's plugged in charging, it's still on! It's her lifeline to the outside world. She can have 3-4 texting conversations going on at the same time. In her defense, she is a masseuse and her contacts are via texting, but it's still way over the top.
I understand that the phone is necessary for keeping in touch with business contacts or when you're expecting an important call. Or you're just killing time when waiting for an appointment. That's fine, but there needs to be a defining line when you're in social situations where you're supposed to be visiting and spending time with others. If I don't know you and your face is in your cell phone, I don't care. If I'm in your company and you're paying more attention to your phone than you are to me, I do care. I refuse to compete for attention with an electronic device.

It's a compulsive disorder for many people. If the phone rings/vibrates, they're compelled to immediately answer it. If they can't answer it for some reason, they become visibly agitated. If they're unwillingly separated from their cell phone, it can get ugly.