01 - In a blender or food processor, combine the diced mango, diced pineapple, honey, lime juice, tamari soy sauce, minced garlic, grated ginger, and smoked paprika. Blend until completely smooth.
02 - Transfer 1/4 cup of the blended marinade to a small bowl and set aside for basting during grilling.
03 - Place the chicken breasts in a large resealable plastic bag or shallow dish. Pour the remaining marinade over the chicken, ensuring all pieces are evenly coated. Seal and refrigerate for at least 1 hour, or up to 4 hours for more pronounced flavor.
04 - Preheat an outdoor grill or grill pan to medium-high heat. Lightly oil the grates to prevent sticking.
05 - Remove the chicken from the marinade and gently pat dry with paper towels. Brush both sides with olive oil and season generously with salt and freshly ground black pepper.
06 - Place the chicken on the preheated grill and cook for 6 to 7 minutes per side. During the final 2 minutes of cooking, baste generously with the reserved marinade. Cook until the internal temperature reaches 165°F when checked with a meat thermometer.
07 - Transfer the grilled chicken to a cutting board and let rest for 5 minutes. Slice against the grain, plate, and garnish with fresh cilantro, additional mango and pineapple pieces, and lime wedges.