Would buying a used DSLR be a good idea?

I have a point & shoot camera. Nikon Coolpix S9300. & it really is a great p&s camera! Although, I cracked the LCD screen so now 2/3 of the screen is blank when I turn the camera on.So only 1/3 of the screen actually shows the images.My parents are dissapointed in me & I feel really guilty about it, but I don't think sending it somewhere & getting it repaired would be worth the money.

I definitely don't have enough money for a brand new DSLR, so I was thinking about buying a used one locally. Has anyone had any experience buying a used DSLR? Any tips?

thanks.(:

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