1Mix 1/4 cup lime juice, 1/4 cup olive oil, 1 tablespoon tequila and 1 teaspoon chili in shallow glass or plastic dish. Sprinkle chicken with 1/2 teaspoon salt and 1/8 teaspoon pepper. Add chicken to marinade; turn to coat. Cover and refrigerate 30 minutes.
2Mix remaining ingredients except salad greens in glass or plastic bowl. Stir in remaining 1 tablespoon lime juice, 1 tablespoon olive oil, 1 tablespoon tequila, 1 teaspoon chili, 1/4 teaspoon salt and 1/8 teaspoon pepper. Cover and refrigerate while grilling chicken.
3Heat coals or gas grill. Remove chicken from marinade; reserve marinade. Cover and grill chicken 4 to 6 inches from medium heat 10 to 20 minutes, brushing 2 or 3 times with marinade, until juice of chicken is no longer pink when centers of thickest pieces are cut. Discard any remaining marinade.
4Divide salad greens among 4 plates. Slice chicken; arrange on greens. Spoon fruit salsa over chicken.