Preheat grill or broiler.
Combine 1 teaspoon garlic and the next 6 ingredients (1 teaspoon garlic through chicken breast) in a large zip-top plastic bag. Seal the bag and shake to coat. Remove chicken from the bag. Grill or broil chicken 5 minutes on each side or until done. Cut chicken into 1-inch pieces.
Combine chicken, cubed cucumber, and the next 4 ingredients (cubed cucumber through tomatoes) in a large bowl. Combine yogurt and remaining ingredients in a small bowl. Pour over chicken mixture; toss well.
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