It'll be quite some time before we get around to it. Knifegill and I only just got our three pickling jars, and we're already making pickles and pickled carrots in two of them. They take about a month to ferment, and I definitely want to pickle green beans, beets, and sauerkraut before I try something like pickling dandelion roots. So, unless we get more pickling jars, it'll be months before we've got a jar for dandelions. We'll certainly update when we make them, though!
In the meantime, it looks like people already are pickling them, and liking it! Recipes - Pickled Dandelion Root - from MB Spice Co Pickling Dandelion Roots | Michelle and Vita Adventures
This person made kimchi with the leaves. Interesting! Fermentation Support Forum • View topic - dandelion kimchi
And, this person pickles the flower buds! Herbs and wild foods recipes from Cedar Mountain Herb School