In large bowl, place oats and cover with water; let soak for at least 2 hours.

Preheat oven to 350 F and line loaf pan with piece of parchment paper large enough to make at least a 1 inch overhang.

Drain oats and return to bowl; stir in flour, carrot, pecans, currants, and allspice. In separate bowl, whisk together eggs and milk. Add egg mixture to bowl with oat mixture and stir to combine.

In lined loaf pan, place oat mixture and press down firmly to compact it. Bake in preheated oven for 35 minutes, or until loaf is set. Let cool in pan for several minutes before using parchment paper overhang to lift oat loaf from pan.

To make apple topping, in medium saucepan, melt butter and maple syrup over medium heat. Add apple slices and cinnamon. Heat until apple is very tender, stirring occasionally, about 5 minutes.

When ready to serve, slice loaf using serrated knife and reheat slices if you like. Serve loaf slices topped with braised apples.