Intermediate shaft issue

The movement of the distributor should be as close to nil as possible.
With that said, the parts, distributor, intermediate shaft and the bushing it slides through are not precision fitting parts. The intermediate shaft gear should mesh with the cam really nice and tight. Not forced in. At the bottom, the hex should be pretty snug but slide in easy I to the oil pump. But there's play there and all the way on up.

How much is to much? I'm not really sure. I never crossed a measurement saying *** amount is worn. Normally, these parts are replaced during a rebuild. So I never crossed issues like this.

I figure, if you can move it, it's shot. Replacement time.