Lay out the bread slices and spread 1 side with butter. Turn and spread other side with Thousand Island Dressing. Lay meat on the dressing spread side of 4 of the slices, tucking in any overhang. Spread sauerkraut evenly atop the corned beef, then place the cheese over the sauerkraut. Top with remaining bread slices, butter side out, and press down tightly.
Heat large non-stick skillet or griddle to medium heat. Fry sandwiches until golden,
about 5 minutes, pressing down several times with spatula. Carefully turn
and cook pressing down, until second side is golden and cheese has melted,
3-4 minutes. Turn again and cook 2-3 minutes more.