Gas gauge jumps around when moving

I assume this is for a car.

The damping is a combination of the regulator and the gauge.

The gage is usually oil filled and slow responding, thus I would suspect that.

The regulator usually supplies a pulse. This minimizes power dissapation.

The float rarely is part of the damping system.

I've had this problem for years with my 2000 Z71. I was told by the dealer (several times) that it "must be a loose ground somewhere." My fuel pump died about six weeks ago (after hitting a GIANT pothole); once the pump was replaced (an "all-in-one" unit inside the tank), no more problem. I might add that the fuel pump is expensive.
Bill