Later, Dickerson says: "You're the President of the United States. You said that [Mr Obama] was 'sick' and 'bad' because he had tapped you."
"You can take it anyway you want," Trump replies.
"But I'm asking you because you don't want it to be fake news; I want to hear it from President Trump," Dickerson says.
"You don't have to ask me because I have my own opinions, you can have your own opinions," Trump says.
"But I want to know your opinions. You're the President of the United States," the reporter pushes back.
"That's enough. Thank you," the President says abruptly before waving the reporter away with his hand.
Trump then sits down at his desk and fiddles awkwardly with some paper with the camera still trained on him.
Before the terse exchange, Trump told Dickerson that Obama was initially very friendly but they had since "had some difficulties".
"He was very nice to me with words and when I was with him but after that there has been no relationship," the President said.
Trump said his claims of wire-tapping had been "proven very strongly".
"I think that is a very big surveillance of our citizens. I think that's a very big topic and it's a topic that should be number one and we should find out what the hell is going on," he said.
Federal Bureau of Investigation director James Comey and Senate Intelligence Committee leaders have said publicly that there is no evidence to back up Trump's wire-tapping claim.
Earlier in the interview, Trump said he was awed by the "bigness of the office" and the "bigness of the deals" done inside the White House.
He said life-and-death decisions, such as ordering an air strike on Syria, differed greatly with "going to buy a building".
"Because it's human lives," Trump said.
"You're killing people. And you can kill the wrong people, too.
"You know, those things go off and they end up in a town or they end up in a city and you have another tragedy on your hands.
"So, these decisions are unbelievable - you know, in terms of the importance because it's human. It's killing. I hate it. But things have to be done."
