Interviewer tried to interrupt me when I was answering a question

So I had an interview today and the interviewer asked a question. I started to give my response and after just a few seconds the interviewer started to talk over me. I immediately asked them to "let me finish" and they did. Then they said let's move on to a different question and rest of the interview felt awkward. Was I rude in asking to finish my answer? What happened to etiquette in interviews? Could this be a cultural difference?