Yup, my 77 does that and drives me crazy. Salt creep all over the place because of it. It's one of the major factors in me upgrading my tank and getting rid of this one.
Technically it's called capillary action and the only way to stop it is either to keep your water level low enough the surface tension of the water never climbs up the glass wall that high or somehow get in there and completely seal that underside of the trim. I've never found a way to do it without draining my tank, so I've lived with it and cleaned up the mess everyday
