How much separation is required by the tower for a/c taking off and landing?

I was in position and holding on 34 at Asheville, NC (AVL) today, with a
plane on final, me in position and holding, and a 182 in front of me taking
off. Before his wheels left the runway, I was cleared for take-off. I didn't
feel that it was any safety issue on an 8000' runway, but it struck me as
something to ask about here, especially since I was the sandwich meat in the
middle.
--
Jeff 'The Wizard of Draws' Bucchino

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