Some people call it "dumping"
Time (not enough of it) is often the reason for this attempt to have a conversation, an exchange of information or a visit without really paying full attention. It's a kind of energy conservation or, attempt at that. It's an effort to be efficient. Often it turns out to be less efficient than if both had actually paid attention in the first place since things have to be repeated.
Interrupting is another matter, and, very annoying. If you really want to make a point and you get cut off, you will have to wait, hold your focus, respond to the deviation and then, bring the thread of the conversation back to where you were going so that you can make your point.
Why do people interrupt? The not wanting to really listen, as discussed above, is one reason. Being impatient is another. Often it has to do with being, not in an exchange, but doing a diatribe. In other words, the person who interrupts is only listening to the other enough to be reminded of something or to use the other's offering as a jumping off point for another idea of their own that they want to express. They are not truly engaged in an exchange. What they want to do is discharge, rant, or lecture. That is a one-sided type of communication.
A real conversation is mostly made up of listening and responding, on both parts.
In some cases the reason for not listening is deeper than just feeling rushed. It may be defensive; possibly the person is trying to to avoid hearing difficult information, maybe they don't want to be influenced, or there may be another personal reason. As the reader who wants to learn about yourself, this is where it gets interesting. Do you ever notice yourself pretending to listen or politely faking it or doing the interrupting thing? You can self-reflect on this: Ask yourself why.
As for those who fake listen to you, you already know that it is tiring. A good conversation should leave you feeling fine, not weary, not annoyed, not vaguely discontent.
~Rather than enervate you, a good conversation should invigorate you. You should leave feeling intact (boundaries not violated). Neutral is okay but if you leave feeling enhanced, that's a conversation wherein both people were real (open, honest, congruent); that is the stuff of emotional intimacy. You should not leave feeling depleted and if you suspect you are leaving others a little worse for the wear, it might be enlightening to put some attention on why.~
(What kind of conversation do you think the people in the picture are having?)
Have you had experiences like those described in this post?
A suggested post if you wish to think further on this topic:and there are also 10 more, enlightening posts on this subject of communication.