While this recipe doesn't result in an enormous amount of chrain, you may have some leftovers. Your best bet is to put it in an airtight container in the fridge - it should last about a week. And yes, you can also freeze it, but be aware it may lose some of its pungency in the process. If you elect to use the freezer option, we recommend spooning your chrain into an ice cube tray, then popping the frozen chrain-sicles into an airtight Ziploc-type bag and storing it in your freezer until you're ready to use it again.