All arthropods do this. A reptile shedding is fundamentally different in nature than an arthropod molting.
However, there is some "growth" between molts -- most, if not all, arthropods have some softer regions of exoskeleton that can stretch a bit and other regions that are completely rigid (for structural support). The softer regions will stretch with feeding and hydration.
In scorpions, this is the membrane between the tergites; in tarantulas, it's the abdomen. The best way to see this is to look at a tarantula that's just molted and then look at it again after it's eaten a huge roach. It's abdominal region will stretch and it will look like it "grew."
The legs and carapace do not behave in this way; they're stuck at the size they are immediately following a molt until the next molt.