[Darksheare]

True.
You'd think after having the starter in my beat up car do something interesting that sounded similar, I'd have thought of that.

[Dead Corpse]

It could also be the ignition lock cylinder, but normally if you jiggle the key between attempts, you'll get it to catch.

This really sounds like the battery has good juice, the switch and solenoid are ok, but something else needs a breather before it'll crank. If it was cranking, but no spark, I'd agree with a fuel problem. However, the fact that it's giving a "click-click-click" kinda thing sounds like a starter issue somehow. That'd be a ground, fried primary windings, heat soak from the exhaust (too hot exhaust or a dying starter, either aren't good), ect...