In stand mixer beat cream cheese until smooth. Add sugar and lime juice. Beat until smooth and creamy.
Lay out a tortilla and add two heaping tablespoons of cream cheese mixture to the center. Top with a heaping tablespoon of cherries. Please see picture above for placement of cream cheese and cherries. Roll burritos tight and set aside. Repeat until all the tortillas are full.
Heat about 2/3 inch of oil in large heavy skillet to 350 degrees. Working in small batches brown on each side for approximately 1 minute. Drain on paper towels. Cool slightly before eating. Refrigerate leftovers.