In a medium saucepan, combine the rice, coconut milk, and water. Bring to a boil, stir once, then reduce the heat to low. Cover and let it simmer for 18 minutes or until the rice is tender and the liquid is absorbed.
While the rice cooks, season the chicken thighs with salt and pepper.
Heat the olive oil in a large skillet over medium-high heat. Add the chicken and cook 6–7 minutes per side, or until golden and fully cooked.
Slice the cooked chicken into strips.
Fluff the rice with a fork. Squeeze fresh lime juice over it and give it a stir.
Assemble your bowls: scoop coconut rice into the bottom, top with sliced chicken, cucumbers, carrots, and avocado.
Sprinkle with cilantro if you’re into that sort of thing. Serve immediately.