Pour the cream of chicken soup into a blender along with the green chiles, olives, jalapeno, and lime juice. Puree until smooth, then pour into a saucepan, and warm over medium-low heat while proceeding with the recipe.
In a large bowl, stir together the cream cheese, Monterey Jack cheese, and taco seasoning until well blended. Fold in the chicken. Evenly divide mixture among the 8 tortillas. Fold each tortilla into a rectangular packet around the filling.
Heat the vegetable oil in a large skillet over medium-high heat. Fry 4 chimichangas at a time until golden brown, then drain on a plate lined with paper towels.
To serve, place a chimichanga on a plate, and ladle the warm sauce overtop. Sprinkle with Cheddar cheese and green onions. Finish with a dollop of sour cream.