Lime juice and olive oil dress the salad greens, echoing the chicken's marinade and tying the dish's flavors together with minimal calories.
Combine chicken, oil, lime juice, and garlic in a bowl. Refrigerate for 30 minutes. Preheat a grill or grill pan to high. Grill chicken until cooked through, about 4 minutes per side.
Combine greens, mint, and radishes. Sprinkle with salt, season with pepper, and drizzle with oil and lime juice. Serve with chicken and lime wedges.