Hey! So there are two ways mutations can be removed. Firstly, they will naturally wear off after 3 generations of clones (it's the number in the top left of the locked piece below)
Secondly, you can collect 'Remove Mutation' DNA mods, which are a bit rarer than other ones. Once you've slotted that in and sequenced your genome, it will remove it so it is freed up for the next time. You could also use the Recycle DNA button on the reconstitution screen if you have a lot spare, and if you're lucky you'll get that Mod!