In a small bowl, mix together the jerk seasoning, lime juice, honey, and a pinch of salt to create the marinade.
Pat the salmon fillets dry with paper towels. Brush each fillet with olive oil, then rub or brush the marinade evenly over the salmon.
Cover and refrigerate for at least 15 minutes, up to 2-4 hours for deeper flavor.
Heat your grill to 450-500°F or set a skillet over medium-high heat. Brush grill grates or skillet with oil to prevent sticking.
Place the salmon skin-side down on the grill or skillet. Cook for 6-7 minutes, until the skin is crispy and the fish releases easily from the surface.
Flip the fillets and cook for another 6-7 minutes, until the salmon is cooked through and flakes easily with a fork. Internal temperature should reach 140°F for well-done, or 130°F to 135°F for medium. It will continue to cook from carryover heat as it rests.
Remove the salmon from heat and let it rest, loosely covered with foil, for 5 minutes. Serve warm.