Well I have one of the two piece chucks, and I have to say that it doesn't slip most of the time, but will now and then. In fact, the main times it does happen is when I'm driving a lot of screws using the slip clutch. The vibration seems to loosen it unless I tighten it down the correct way.
The only reason I even know there's two different kinds is from reading a cordless drill line up in a tool magazine. According to them, you eventually will damage the drill tightening a two-piece with the motor, but I've had mine a long time.
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