In a large mixing bowl or large storage bag, combine the lime juice, olive oil, garlic, cilantro, cumin, smoked paprika, sea salt, and black pepper. Add the chicken and coat with the marinade. Chill in the refrigerator for 6 hour or up to 24 hours.
In a blender, add the sour cream, mayonnaise, oil, lime juice, jalapeño, cilantro, green onions, salt, and pepper. Blend until smooth and refrigerate until ready to serve.
Preheat the grill to 400℉.
Place the marinated chicken onto the grill and cook for 4-5 minutes per side or until the internal temperature of the meat is 175℉. Remove to a plate and tent with foil. Allow the chicken to rest for 10 minutes.
Serve 1-2 thighs depending on size per person with aji verde on top or on the side.