If using fresh corn, preheat grill to 400° F. Remove the husks and the silks from the corn cobs and brush with olive oil. Place corn on hot grill and grill for 12-15 minutes. Turn occasionally to get grill marks on all sides of the corn. *See Notes for how to make street corn dip without fresh corn and a grill.
Allow corn to cool for a few minutes (set in refrigerator to speed up the process. Once cool enough to handle, use a sharp knife to cut the kernels of the cob.
Add the mayonnaise, sour cream, lime zest, lime juice and spices to a bowl and mix well. Next add the jalapeno, cilantro, corn and cheese and stir well to combine.
Garnish with an extra sprinkle of cheese, cilantro and lime wedges. Serve chilled with tortilla chips or a side dish with your favorite Mexican dish.