01 - Combine the diced mango, pineapple, honey, lime juice, tamari soy sauce, minced garlic, grated ginger, and smoked paprika in a blender or food processor. 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 resealable plastic bag or shallow dish. Pour the remaining marinade over the chicken, ensuring each piece is thoroughly coated. Refrigerate for a minimum of 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 the chicken from 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 grilling, baste with the reserved marinade. Cook until the internal temperature reaches 165°F (74°C).
07 - Transfer the grilled chicken to a cutting board and let it rest for 5 minutes. Slice against the grain and arrange on a serving platter. Garnish with fresh cilantro, additional mango and pineapple pieces, and lime wedges.