We use it. We shift as much load as we can into the cheap periods (water heating, washing machine, dishwasher, car charging). We also adjust the settings on our battery to limit our use of the grid during the expensive period.
Our heat pump is controlled by a Tado so we have made small adjustments to the timings to try and push use away from the peak period. It's harder to do this with most heat pump controls.
Without an EV or a battery I think you might struggle to save more than pennies. If you're already on Octopus there's an app called Octopus Compare that tells you how much you would pay each day on different tariffs. So you could see if it's worth going for without actually moving it.