How to Make It
Combine corn, 1 1/2 teaspoons olive oil, 1 teaspoon red wine vinegar, 1/4 teaspoon salt, and radish slices in a small bowl; toss.
Place remaining 2 teaspoons vinegar, remaining 2 1/2 teaspoons oil, remaining 3/4 teaspoon salt, honeydew, and next 9 ingredients (through garlic) in a blender; process until smooth.
Divide gazpacho evenly among 4 serving bowls; top evenly with corn mixture and yogurt. Sprinkle with chives and black pepper.