Cook the corned beef until fork-tender, about 3 hours. Split off the deckle, trim all excess fat, and submerge in ice water to cool without drying out.
Once cool, thinly slice the corned beef on a deli slicer.
To assemble the sandwiches, lay out all slices of the rye bread and spread the Russian Dressing on top. Place a slice of cheese onto 8 of the b