Combine smoked paprika, cayenne, allspice, minced garlic, olive oil, honey, lime juice, salt, and pepper in a mixing bowl to create a vibrant marinade. Whisk until smooth and fragrant, with the spices thoroughly blended.
Add the shrimp to the bowl and toss well to coat each piece evenly with the marinade. Cover and let sit in the refrigerator for at least 15 minutes to absorb the flavors.
Heat a skillet over medium-high heat until shimmering, and add a splash of olive oil. Swirl to coat the bottom of the pan.
Carefully add the marinated shrimp to the hot skillet, spreading them into a single layer. Sizzle and cook for about 2 minutes, until they start to turn pink and the marinade begins bubbling.
Use tongs to flip the shrimp and cook for another 2-3 minutes, allowing the marinade to caramelize slightly and the shrimp to cook through fully. The shrimp should be opaque and tender.
Once cooked, transfer the shrimp to a serving plate. Spoon some of the sticky glaze from the skillet over them for extra flavor and shine.
