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Mix lime juice, oil, brown sugar and Seasoning in small bowl. Reserve 2 tablespoons of the marinade for basting shrimp. Place shrimp in large resealable plastic bag or glass dish. Add remaining marinade; toss to coat well.
Refrigerate 15 minutes. Remove shrimp from marinade. Discard any remaining marinade. Alternately thread shrimp and pineapple onto skewers.
Grill over medium heat 5 minutes or just until shrimp turn pink, turning occasionally and brushing with reserved marinade.