Preheat grill or broiler. Grill or broil corn, turning occasionally until hot and some kernels turn golden brown, about 5 minutes. Using knife, coat each ear of corn with about 1 tablespoon of mayonnaise. Crumble cheese on one side of each corn ear.
Sprinkle with chili powder, dividing evenly. Broil until cheese starts to melt, approximately 1 to 2 minutes. Serve with lime.