The lower unit contains an "overrun clutch" that is a saw toothed set of gears that allows the engine to slow down when decelerating but allowing the prop to follow the forces acting against it, by flowing water, as the boat slows.
As the F gear (only has this function) and the "clutch dog" mounted on the prop shaft accomplish this, there is spring loaded pressure on the prop shaft whereby turning the prop without the engine running (and you pushing on the prop while turning it) will cause the clutch dog to move up the ramp which will force it to the rear and abruptly move forward slightly (1/8 to 1/4" type thing) as it falls off the peak of the saw tooth ready to repeat the cycle.
Speck on the prop nut is 55 PSI. Putting a block of wood between a prop blade and the AV plane, using a 1/2" breaker bar which is about 15 or so inches long, 55 is moderate pressure on a wrench of that length, hand on the end.....no slop.
To check the installation, grasp the blades of the prop with your hands on either side and push forward while turning the prop. As the prop follows the sawtooth pattern, there should be no contact between the prop and the housing.