Step 1

Prepare outdoor grill for cooking or preheat broiler.

Step 2

Coat chicken with oil and season lightly with salt and pepper.

Step 3

Place chicken on cooking surface of grill or broiler pan 6 to 8 inches from heat source. Grill or broil 15 minutes to 25 minutes, or until cooked through, turning occasionally.

Step 4

In small bowl, combine cucumber, yogurt, mayonnaise, and dill. Season with salt and pepper to taste.

Step 5

Serve cucumber sauce with warm chicken and grilled vegetables, if desired, or spoon sauce over chicken and refrigerate overnight to serve cold.