WASHINGTON -- Sen. John McCain (R-Ariz.) said Wednesday that it "might be wise" for President Barack Obama to pick Hillary Clinton as his running mate given Vice President Joe Biden's penchant for saying things that sometimes land him in hot water.

"I think [Obama] might be wise to do that," McCain said during an appearance on Fox News, when asked about the prospect of Obama tapping Clinton this time around. "But that's not going to happen, obviously, for a whole variety of reasons."

In a fit of gasps and laughs, McCain said one reason it won't happen is because, "I'm not sure if I were Hillary Clinton I'd want to be on that team."

Biden, who is known for putting his foot in his mouth from time to time, sparked the ire of Republicans on Tuesday when he said during a Virginia campaign event that Mitt Romney's tax policy would put "y'all back in chains." A Romney spokeswoman blasted the remark, saying the Obama campaign had reached a “new low” while promoting “division and demonization."

Biden essentially shrugged over the matter, telling a crowd at a Wednesday campaign event that he knows he's "sometimes criticized for saying exactly what I mean. It's not going to change."

Even though it's highly unlikely that Obama would swap Biden for Clinton, McCain said it could be a good move for Clinton if she has her eye on a future White House run, which he suspects she does.

"I think her ambitions, very frankly, are for 2016," McCain said. "I'm sure that would enhance that likelihood."

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  • Rudy Giuliani And The Price Of Milk

    While running for president in 2007, former New York Mayor Rudy Giuliani <a href="http://newsblogs.chicagotribune.com/news_theswamp/2007/04/giulianis_price.html">told</a> a reporter at a Montgomery, Ala., supermarket that he estimates "a gallon of milk is probably about a $1.50, a loaf of bread about a $1.25, $1.30, last time I bought one." It must have been a few election cycles since his last trip: The grocery store's website listed milk for $3.38 and bread up to $3.49.

  • Dan Quayle And Single Mothers

    During George H.W. Bush's reelection campaign in 1992, Vice President Dan Quayle <a href="http://news.google.com/newspapers?nid=1314&dat=19920521&id=b1tWAAAAIBAJ&sjid=NfADAAAAIBAJ&pg=6921,388223" target="_hplink">scoffed</a> at the "Murphy Brown situation," referring to a television character who had a child out of wedlock. Quayle called the Brown story "totally unreal," adding, "A highly paid professional woman [with a baby] ... give me a break."

  • Martha Coakley And Shaking Hands

    In a display of aloofness that many political observers say led to her defeat by Republican Scott Brown, Democratic Senate candidate and Massachusetts Attorney General Martha Coakley erred in <a href="http://www.politico.com/blogs/bensmith/0110/Coakley_not_sweating_it.html" target="_hplink">brushing off</a> the idea of ramping up her campaigning. When asked whether she was being too apathetic, she referenced one of Brown's ads and fired back, "As opposed to standing outside Fenway Park? In the cold? Shaking hands?"

  • Spiro Agnew And Poor Neighborhoods

    Republican vice presidential candidate Spiro Agnew, branded as Richard Nixon's go-to guy on cities, <a href="http://www.nytimes.com/1996/09/18/us/spiro-t-agnew-ex-vice-president-dies-at-77.html?pagewanted=all&src=pm" target="_hplink">vowed</a> in 1968 to avoid poor neighborhoods. "If you've seen one slum, you've seen them all," Agnew said.

  • Gerald Ford And Tamales

    While visiting the Alamo in 1976, President Gerald Ford <a href="http://www.chron.com/news/houston-texas/article/No-one-told-Ford-tamales-need-to-be-unwrapped-1536700.php" target="_hplink">bit</a> into a tamale through the husk, a faux pas later deemed the "Great Tamales Incident."

  • George H.W. Bush And Grocery Scanners

    President George H.W. Bush caught flak for <a href="http://www.snopes.com/history/american/bushscan.asp" target="_hplink">appearing awed</a> by a supermarket check-out scanner while touring a grocers convention in 1992. It turned out the president was being shown a new bar code technology, and the convention worker who was alongside Bush later said it's "foolish to think the president doesn't know anything about grocery stores. He knew exactly what I was talking about."

  • George W. Bush And Gas Prices

    In 2008, President George W. Bush <a href="http://www.nytimes.com/2008/04/03/business/worldbusiness/03iht-assess.4.11654214.html?_r=1" target="_hplink">said</a> he had not heard predictions that gas prices could soon hit $4 a gallon. At the time, the national average was $3.29 a gallon.

  • John Kerry And Cheese Steak

    In 2003, Democratic presidential contender John Kerry <a href="http://www.nationalreview.com/battle10/244119/bloombergs-john-kerry-cheesesteak-moment-thomas-shakely#" target="_hplink">ordered</a> Swiss cheese on a cheese steak while campaigning in South Philadelphia, straying from the traditional favorite topping, Cheez Whiz.

  • Michael Dukakis And The Tank

    Democratic presidential contender Michael Dukakis <a href="http://www.usnews.com/news/articles/2008/01/17/the-photo-op-that-tanked" target="_hplink">tried</a> to one-up Republican opponent George H.W. Bush on national defense by striking a pose in an M1 Abrams tank.

  • Mitt Romney And Wawa

    Mitt Romney has had his fair share of seemingly out-of-touch statements this election cycle, admitting he likes to "fire people" and <a href="http://abcnews.go.com/Politics/OTUS/mitt-romney-sandwich-computer-wawa/story?id=16587170#.T-Ca3XBfaUc" target="_hplink">expressing amazement</a> at the touchscreen ordering system at convenience store Wawa.

  • Barack Obama And The Private Sector

    President Barack Obama is not exempt from the "gotcha" moment. In June, he <a href="http://www.huffingtonpost.com/2012/06/08/obama-doing-fine-private-sector_n_1581874.html" target="_hplink">described</a> the private sector economy as "doing fine." The gaffe immediately elicited comparisons with his 2008 Republican opponent, John McCain, who said that the "fundamentals of the economy are strong" in the midst of a crippling financial crisis.