President-elect Donald Trump's incoming chief of staff Reince Priebus said Tuesday that Trump "would rather look forward instead of backwards" after the real estate mogul indicated he did not favor an ongoing investigation of his election opponent, Hillary Clinton.

"Look, he’s not going to spend his time sitting around thinking about how he’s going to prosecute Hillary Clinton, he’s going to think about the future of America," Republican National Committee chairman Reince Priebus told Fox News' Eric Bolling on "The O'Reilly Factor."

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"Now, I’m sure if something comes around that is some kind of bomb that we don’t know about, we’ll have to take a look at it," Priebus added, "but his point [Trump is] looking forward to leading this country, he’s not looking to further injure the Clintons."

Priebus also said that Trump would allow ongoing congressional investigations of Clinton's tenure as secretary of state to move forward, but said as far as Trump is concerned, "it’s time to move forward and heal America and lead."

Priebus also defended Trump from ongoing questions about his campaign's ties to the so-called "alt-right" movement, including the appointment of Brietbart Media chairman Steve Bannon as Trump's chief strategist in the White House.

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"Look, we continually disavow, we will always disavow these folks," Priebus said, "but it also is unfair to constantly go to any interview and answer the same 10 questions every single time so they can keep perpetrating the same themes in these stories."