In a medium bowl, whisk together the lime juice, 1/4 cup cilantro, olive oil, minced garlic, cumin, salt, and pepper.
Place chicken breasts in a resealable bag or shallow dish and pour half of the marinade over them; marinate for 15-20 minutes.
Rinse the jasmine rice in a fine-mesh strainer until the water runs clear.
In a medium saucepan, combine the rice and 1.5 cups water; bring to a boil over high heat.
Reduce heat to low, cover, and simmer for 15 minutes, then remove from heat and let stand covered for 5 minutes.
While rice cooks, heat a large skillet over medium-high heat and sear the chicken for 6 to 7 minutes per side until the internal temperature reaches 165°F.
Remove chicken from the skillet and allow it to rest for 5 minutes before slicing into strips.
Fluff the rice with a fork and stir in the remaining 1/4 cup of chopped cilantro.
Divide the rice among four bowls, top with sliced chicken and avocado, and serve with lime wedges and the remaining reserved marinade.