In a small bowl, whisk together the honey, lime juice, olive oil, lime zest, salt, and pepper to create a marinade.
Place the chicken breasts in a resealable plastic bag or shallow dish, pour the marinade over the chicken, ensuring it's well coated. Seal and refrigerate for at least 30 minutes (up to 2 hours for more flavor).
Preheat your grill or a skillet over medium-high heat.
Remove the chicken from the marinade and discard the marinade. Grill the chicken for about 6-7 minutes per side or until fully cooked (internal temperature should reach 165°F). Remove from heat and let rest for 5 minutes before slicing.
In a large bowl, combine the cooked jasmine rice, diced avocado, halved cherry tomatoes, and chopped cilantro. Gently mix to combine.
Serve the sliced chicken over a bed of the avocado rice mixture and garnish with additional lime wedges on the side.
Notes
For best flavor, marinate the chicken for up to 2 hours.