The Eagle does this and it makes me so incredibly angry because I find it very disrespectful. I can tell when he's paying more attention to whatever he's looking than he is to me. When he does it now, I say, "You're obviously busy with something else. I'll let you go, bye." I so very badly want to say, "...something more important," but I feel like that would be PA.
Sometimes, the conversation goes like this, too:
Magpie: You're obviously busy with something else. Call me back when you're not so busy.
Eagle: I'm not busy, I'm just reading Facebook.
Magpie: Well, I don't want to sit here in silence while you read it. Call me back when you're not busy. Bye.