It is not worthwhile if you only go out of the house to refuel your car for half or quarter of a tank and only do a drive for that. Thats stupid.
It IS worthwhile once you do travels which you do for other purposes than refueling your car.
My easiest example is Los Angeles. I checked with GasBuddy and saw that at the end of the 10 mile through the city which I had to drive to get to my surfing beach I could save 50 cents per Galon and my tank was in the 'Last 20 miles Area'. So i went there and didn't visit the gas station right around the corner. I saved 12 $ of which I spent 4 $ at the beach later and had actually 8 $ more for food and drinks.
Even better example is a road trip. Since you can estimate how far you get with your car and remaining fuel you can check ahead and see where you will refuel instead of taking the next best station because you fear to not make it to the next city or its maybe not worth it. My highest savings in this case was a saturdays trip from LA to SF and instead of going for 3.89 $ in the north of LA for Premium, I saved 80 cents per Galon and went for 3.09 in the orange valley. 20 Galons sums up to 16 $ and it was on the way anyway.