Pork paillards are given a tropical emphasis with a garnish of grilled pineapple, chopped cilantro,and fresh-squeezed lime juice.
Cut open two sides of a resealable plastic bag. Place 1 chop in bag; pound to 1/4-inch thickness using a meat pounder. Transfer to a nonmetal container. Repeat with remaining chops. Add marinade. Chill 2 hours.
Heat a grill or grill pan. Brush pineapple with 1 tablespoon olive oil; sprinkle with salt and pepper. Grill until browned, about 4 minutes, turning as needed. Transfer to cutting board; cut into 1/2-inch cubes.
Remove pork from marinade; season with salt and pepper. Grill until cooked through and browned on both sides,1 1/2 to 2 minutes per side. Combine lettuce, cilantro, lime juice, remaining olive oil, and salt and pepper to taste in a bowl; toss to combine. Serve with pork paillards, chopped pineapple, and halved limes.