To the carafe of a blender, add the pineapple juice, vinegar, oregano, paprika, salt, cumin, black pepper, cloves, garlic and guajillo chiles and blend until smooth. Transfer the marinade to a bowl and add the pork. Cover and refrigerate for 4 hours and up to overnight.
Preheat the oven with a pizza stone to 500 degrees F.
When ready to cook, heat a grill pan over medium-high heat and brush with olive oil. Remove the pork from the marinade. Grill the pork, flipping once to ensure even cooking, until grill marks appear, about 7 minutes total; set aside. Grill the pineapple rings until grill marks appear, a minute or two on each side. Roughly chop the pineapple and set aside.
Flour a work surface and roll the pizza dough out into a large circle about 1/4 inch thick. Transfer the pizza to a pizza peel lined with parchment paper. Cover the pizza with about 6 tablespoons Tomatillo Salsa, leaving a 1/4-inch border. Then evenly layer on the pork, grilled pineapple, 4 ounces of the queso fresco and the Oaxaca cheese.
Slide the pizza with the parchment onto the pizza stone. Bake until the cheese is melted and the crust is golden, 7 to 10 minutes. Garnish with the cilantro, onion and remaining 2 ounces queso fresco. Serve with lime wedges. Enjoy!
Heat a grill pan over medium-high heat. Add the tomatillos, garlic, jalapeno and onion and grill until charred on all sides, 8 to 10 minutes.
Transfer the grilled veggies to the carafe of a blender. Add the lime juice, cilantro, vinegar and some salt and pulse to the desired level of chunkiness. Taste and season as necessary. Use as sauce for pizza and serve the rest on the side with chips.