Prepare the Chutney (up to 3 days in advance):

1. In a medium saucepan set over medium-high heat, combine all of the chutney ingredients. Bring to a boil, then reduce the heat to low and simmer, stirring occasionally, for 20-30 minutes or until the apple is very soft.
2. Stir in cranberries and cook 10 minutes longer, or until cranberries begin to soften and pop, and chutney is thick and glossy. Let cool, then store in a tightly sealed container in the refrigerator until ready to use.

Prepare the Brie and Serve:

1. To ensure the brie holds up to frying, place in the freezer for 20-30 minutes or until thoroughly chilled.
2. Meanwhile, pour vegetable oil into the deep fryer up to the "maximum" fill line (or halfway up the sides, if using a regular heavy-bottomed saucepan). Preheat to 375F.
3. Set up your breading line - a plate of flour, a bowl of egg, and a bowl of breadcrumbs. Dredge the Brie in flour until lightly coated, then dip first into the egg and then into the breadcrumbs. Dip a second time into the egg, then again into the breadcrumbs to create a good, solid coating around the brie.
4. Deep fry the breaded brie in preheated oil for 2-3 minutes, or until the coating is golden and crisp. Using a slotted spoon, carefully remove the brie from the hot oil and transfer to a baking sheet lined with paper towel to drain for a minute or two.
5. Place the brie on a pretty serving plate or cheese board, and spoon the prepared chutney into a small bowl. Serve immediately with plates of crackers, melba toast and/or thin slices of french bread to accompany.