Had a look when I was out at lunch. Local Esso and Shell both dry.
Asda has fuel, but the queue stretches out onto the busy public roundabout, and I wasn't prepared to join the back of it and block the way. (obviously somebody else will have gone ahead and done just that 10 seconds later, but hey...)
We think at work, Shell have their own trucks/drivers, Hoyer ( dispute @ BP ) Hamble which started it, supply BP and Esso . . . all the Esso stations between worthing and Chichester are shut.