I have a 1000s with multiple prisms and they all fit snugly. When attached, they can be forcefully moved horizontally by a tiny bit, but they do not rattle when the camera is shaken.
There is no foam on the camera body and the plain (non-metering) prism only has a small strip of foam (20x3mm) next to the eyepiece, as well as slightly protruding round rubber bumpers left and right of the glass, covering some screws. The metering prisms (PD-S/AE) also have foam (40x5mm) in the front, between the glass and the aperture coupling mechanism. The waist level finder only has the bumpers and no foam at all and still is a tight fit.
Adding foam yourself shouldn't hurt. I'd start with a small piece in the center or next to the glass, no need to cover all the edges. Also check that the screws for the hooks to which the prism attaches on the camera are well tightened.
PS. My plain prism suffers from strong mirror corrosion, which is caused by degrading foam inside the prism. The plain prism seem to be affected more by this than the other (possibly newer) prism types. So if your prism is clean then you should call yourself lucky and keep using it!