Kim Kardashian, Chace Crawford "Might Go on a Date," Source Says

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Flirt alert!

Kim Kardashian, 29, and Chace Crawford, 25, really hit it off when they presented an award together at the Teen Choice Awards Aug. 8. "Later, they chatted backstage," a Kardashian family insider tells the new issue of Us Weekly.

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And now?

"You never know: They might go on a date. Kim thinks he's a cutie!" says the source.

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She's recently been cozying up to Dallas Cowboys wide receiver Miles Austin, 26, but the insider tells Us they're not that serious.

"He's a great guy, but Kim's been burned before," says the source of Kardashian, who split from Reggie Bush last March after about three years of on-again/off-again dating. "She wants to be single and take it slow."