Preheat oven broiler.

Toast the rye bread on the middle rack while the oven is heating – check frequently and remove when golden brown.

While the bread is toasting, stir together the sauerkraut and thousand island.

Remove the toasted bread from the oven and set on a baking sheet. Pile the corned beef evenly on each slice and top with the sauerkraut mixture.

Broil for 3-4 minutes until warmed through. Place cheese slices on top and broil for another minute until cheese is bubbling.

Serve hot straight from the oven.