True enough, a gallon of gas is about 6 pounds depending on the time of day, and the old saying is not very accurate, but I think it still makes the point. A 15 gallon tank of gas weighs about 90 pounds, and if you could eliminate that weight over a length of time without any other penalty, you'd probably find a small but measurable gain in economy.
Which is mitigated by having to drive to the gas station, pull in, stop the car, fill up to exactly the amount you need, restart the car (starting the car takes a lot of energy) and drive back to where you were before.
Yeah, don't think there's much savings there.