"Well, you know, I'm very proud of her, so I'm always gratified whenever anyone says anything nice about her. And I very much agree that she's done a good job," Clinton told Bob Schieffer on CBS's "Face the Nation."
"But I also have a high regard for Vice President Cheney's political skills, and I think one of those great skills is sowing discord among the opposition. So I think he's right that she's done a heck of a job. But she is a member of this administration, and committed to doing it. And I think he, by saying something nice about her in the way that he did, knew that it might cause a little trouble," Clinton continued.
"I don't want to help him succeed in his political strategy. But I admire that he's still out there hitting the ball."
During recent interviews promoting his new book "In My Time," Cheney has suggested that Hillary Clinton should run for president in 2012 against Obama.
"Hillary Clinton is a pretty formidable individual," Cheney told ABC's Jonathan Karl earlier this month. "I think she’s probably the most competent person they’ve got in their cabinet. And, frankly, I thought she was gonna win the nomination last time around."
"Maybe if the Obama record is bad enough -- and these days it's not very good, given the shape of the economy -- maybe there will be enough foment in the Democratic Party so that there will be a primary on their side," he continued.
A Democratic primary "might even help the Republicans a little bit," Cheney told Karl.
Cheney also appeared on “Face The Nation” after Bill Clinton on Sunday and insisted that he wasn't playing politics.
"I just thought, Bob, that Democrats ought to have as much fun on their side as we are on our side," Cheney said.