I'm not sure if this was in the write-up, but when I replaced my fuel pump I also cleaned the sending unit sensor:
Unfortunately, no picture, but it's easy to find. Where the swing arm for the float attaches to the assembly there will be a little box (about 1" long by 1/2" high). Gently pry open the box and you should see a crescent shaped coil of copper wire - this is where the signal is sent from.
Wearing rubber gloves, take the assembly someplace in the open, not near any plant or animal life, and spray the crescent with electrode cleaner (pick up at auto parts store of Home Depot). I used up almost a whole can, moving the arm and shooting everything from different directions.
The gauge still moves if I floor it, or turn hard, but that is to be expected. It no longer dances all over the place, or shows full when it's empty, and vice versa.
Current - 1993 Wrangler 2.5 - mostly stock
Previous - 1989 Comanche Pioneer 4x4 Long Bed/Metric Ton Pkg
4.0, AT, D44 w/ Trak-Lok RIP