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To say that legendary rocker Keith Richards was unimpressed when he initially met Justin Bieber would be an understatement.

Ditto when it came to Justin's impression of the Rolling Stone's legend, according to Us Weekly.

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While celebrating New Year's on the luxe Parrot Cay island, Justin saw "an old guy throwing back drinks who said, 'Who the f--- are you?'" a source told Us of the encounter at a bar. In response, the "Girlfriend" singer shot back, "I don't know, who the f--- are you?"

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Unflustered, the 71-year-old rocker said, "'You're a man. I respect that,' then walked away," a source said. But later, the duo would reunite after Justin was told the identity of the old man at the bar.

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"Justin tried to bro down with him," a witness said, adding that Richards later said, "Let's get one thing straight. You're a wannabe."

Another friend of Justin's denied that that was said, claiming that Justin and Keith swapped numbers so that they could keep in touch.