I think there are different kinds of interrupting.
One is where someone is genuinely listening to you and wants to engage, so might jump in with a comment. In those cases, just carry on with what you are saying after a brief pause.
Another is where they have been listening, but don't want to engage- they just want to say what's on their mind. They are less interested in your point and think theirs is more interesting. These ones you can ask them to wait until you've finished speaking and depending on your relationship with them, say that you want to hear what they have to say.
Then there's the one where they're not listening to you at all, have no interest in what you have to say and just start talking. These are the rudest and you should go all out- either talk increasingly loudly, or stop abruptly and say something, or wait until they've finished and apologise for talking while they were interrupting. Eye rolls are optional.
Conversation is an art, and the best conversationalists work at it. You shouldn't start a monologue, you should observe the social and conversational cues, and you should properly listen to what's being said to you before responding appropriately. If you are a persistent interrupter it's likely you haven't been properly listening, or haven't been taught how conversation works.