Orikoru
Tour Winner
That would be the Mick Lynch technique. I saw one the other day with Richard Madeley just ranting and raving instead of waiting for him to answer, then Mick just goes "have you finished, would you like me to answer now?"Haha, yes you're right, they have the same style. Paxman used to do it as well and that was equally rude. Perhaps that is the training they get now?
At one point she stated 'I don't mean to interrupt ', obviously then did. A sharper interviewee would have pointed out she had interrupted on every answer to that point. Personally, I'd stop speaking each time someone interrupted, wait 5 seconds after they stop speaking, ask if they'd like me to continue and then carry on. Do that 2 or 3 times and I'm sure it would stop. I'm surprised people don't try something other than just continuing to talk. I don't think that is particularly effective.
Edit: @Piece beat me to the Mick Lynch thing.