Preheat the barbecue.
In a small bowl stir together olive oil, garlic, lime zest, paprika, oregano, salt, red pepper flakes and pepper. Can be prepared in advance.
Rub adobo paste evenly over chicken thighs. Let stand at room temperature until the barbecue is ready.
Place chicken on grill skin side up and sear for 3-5 minutes. Move to the rack above the heated grill, close the lid and continue cooking for 45 minutes. Don't turn the chicken over, skin side up for the entire cooking time. Chicken is cooked when a thermometer inserted in the meat measures an internal temperature of 185°F.
Let chicken stand for 5-10 minutes before serving.