Heads should roll at the CIA if Senate Intelligence Committee Chairman Dianne Feinstein, D-Calif., proves that intelligence officers hacked her staff's computers as part of a dispute over a committee report on waterboarding, Sen. Rand Paul, R-Ky., told reporters.

"There's an incredible arrogance to me that the CIA thinks they can spy on a committee that is providing oversight for the CIA, and I think it's a real, very serious constitutional breach," Paul said outside the Senate chamber on Thursday. "This cannot happen in a free country."

Feinstein took to the Senate floor Tuesday to allege that "the CIA just went and searched the committee's computers." CIA director John Brennan denied Feinstein's allegations, telling NBC, "The CIA was in no way spying on [the committee] or the Senate." That denial has some lawmakers withholding judgement on the matter, at least for now.

House Minority Leader Nancy Pelosi, D-Calif., praised Feinstein. "I tell you, you take on the intelligence community, you're a person of courage, and she does not do that lightly," Pelosi said during her weekly press briefing Thursday morning. "Not without evidence -- when I say evidence, [I mean] documentation of what it is that she is putting forth."