Marinate the Chicken: In a bowl, whisk honey, lime juice, olive oil, garlic, smoked paprika, cumin, salt, and pepper. Add chicken and marinate for at least 20 minutes.
Cook the Rice: Rinse rice under cold water, then add to a pot with water and salt. Bring to a boil, reduce heat, cover, and simmer for 15 minutes. Fluff and set aside.
Cook the Chicken: Heat a skillet or grill pan over medium-high heat. Cook chicken for 5–6 minutes per side until caramelized and cooked through. Let rest briefly, then slice.
Assemble the Bowls: Divide rice into bowls, top with sliced chicken, avocado, cucumber, pickled onions, and cilantro.
Finish and Serve: Squeeze fresh lime juice over each bowl before serving.