Heat olive oil in a large nonstick skillet over medium heat. Add onion, chile, and garlic. Saute until the onion is tender, about 3 minutes. Add shrimp, lime peel, thyme, and cinnamon. Saute, stirring frequently, until shrimp is barely cooked and no longer translucent, about 4 or 5 minutes. Add grapes, lime juice, and hot sauce. Add salt and pepper to taste, mix well, and remove from heat.
Place cooked rice in a microwave-safe container and microwave on high 1-½ minutes, or until hot. Add chutney to rice; mix well. Place lavash bread rounds in a large zip-top plastic bag and microwave on high 1 minute.
Remove lavash from bag and, working two at a time, spread ½ cup rice and one-quarter of the shrimp-grape mixture on the lower half of each lavash round. Fold in the sides, then tightly roll up the lavash. Place the wraps seam side down on a serving platter.