Whisk chili sauce, honey, sriracha, lime juice, garlic, and cayenne in a medium bowl until combined; set aside.
Pat shrimp completely dry with paper towels for proper searing.
Heat oil in a large skillet over medium-high until shimmering.
Add shrimp in single layer; cook 2-3 minutes per side until pink and just cooked through.
Pour sauce over shrimp; toss to coat evenly. Cook another 1-2 minutes until sauce is heated through and slightly thickened.
Arrange lettuce on platter; top with shrimp.
Garnish with cilantro; serve immediately with lime wedges alongside.