I'm surprised this hasn't been asked yet. Having just seen Rogue One and rewatched A New Hope, dismemberments are exceedingly common. If go far as to say they are a recurring theme.
For the purpose of this question, dismemberment includes any full or partial removal of an arm or leg, wherein the limb is fairly intact and the victim survives. That includes assaults to biological beings, cyborgs, and droids, and dismemberment by severing (e.g. lightsaber) or raw force (e.g. Wookiee).