Rock buns are best enjoyed fresh, but they can be stored to enjoy later as well. At Room Temperature: Store the rock buns in an airtight container at room temperature for up to 3 days. They may dry out a little after the first day, but you can warm them up slightly to refresh them. Freezing: If you want to store them for longer, rock buns freeze well. Place them in a freezer-safe container or bag, separating each layer with parchment paper. They can be frozen for up to 2 months. To enjoy, thaw at room temperature or warm them in a low oven.