Heat oil in a large saute pan and add the beet greens. Stir-fry the greens over high heat and add the garlic, salt and pepper.
Lower the heat and let the greens simmer in its own juices for 5 minutes before pouring the greens into a serving dish.
Heat the butter in a small saucepan over medium heat for 1 minute before adding the walnuts. Shake the nuts in the hot butter, add the honey and coat well before pouring over the beet greens.