Preheat the oven to 350 degrees. In a large mixing bowl, whisk together the vinegar and honey along with a pinch of salt and pepper to taste. Add the radish and stir until combined. Set aside. In a large sauté pan over a medium flame, heat the oil until hot. Add the leeks along with a pinch of salt and stir while cooking until completely tender and soft, about 12 minutes.
Place the arepas on a baking sheet lined with tinfoil and in the oven for 6 minutes, turning once. Carefully cut the arepas in half and place each bottom on a plate. Top with the leeks followed by the pickled radish, avocado, and queso fresco. Top each with the other half of the arepa.