(CNN) - In a response to comments by Sen. Rand Paul, former Vice President Dick Cheney said Sunday he had no ties to Halliburton after he became vice president and during the Iraq War.
"I had no relationship at all with the company throughout the time that I was vice president. I didn't even talk to them," Cheney said on "Fox News Sunday."
"We kept totally at arm's length relationship," he continued. "So he obviously is not familiar with the facts."
Paul came under hot water with some Republicans after a 2009 video surfaced in which he made a speech suggesting that Cheney pushed for the Iraq War out of his own corporate interests with Halliburton, an oil field services company where he once served as CEO.
The Republican senator from Kentucky, who's thinking about running for president in 2016, tried to clarify the 2009 remarks in an interview last month. He said he wasn't trying to question Cheney's motives, nor does he "think Dick Cheney did it out of a malevolence."
"But what I would say is that it isn't - there's a danger to having a revolving door from government to Wall Street and also from government to contractor back to government," he said in an interview with ABC News' Jonathan Karl. "There is a danger that your decisions could be influenced. And I think we have to be careful of that."