Former Vice President Dick Cheney wonders: Would Hillary Rodham Clinton been a more effective president that Barack Obama had she won the Democratic party's nomination and the general election for president in 2008?

Promoting his new book in an interview on Fox News Sunday, Cheney, who served as vice president for two terms under George W. Bush, suggested that yes, Clinton might have been a more effective president than Obama and easier for Republicans to work with.

She might have been easier for some of us who are critics of the president to work with, Cheney told Chris Wallace, the host of Fox New Sunday. I have a sense that she's one of the more competent members of the current administration, and it would be interesting to speculate about how she might to perform where she to be president.

Cheney has been making media rounds to promote his new memoir, In My Time. He noted in the interview that he wasn't exactly endorsing Clinton, who serves as Secretary of State under Obama and was the former First Lady for two terms while her husband, Bill Clinton was president.

But I don't want to be the position of endorsing Hillary Clinton, Cheney told Wallace. That might be the kiss of death for her.

Cheney continued, saying he wouldn't mind seeing Clinton challenge Obama for the Democratic party's 2012 nomination.

You wouldn't discourage it, Wallace asked.

No, Cheney said. Certainly not. I think it would be good for the Tea Party system.