This bit of Olympic swag was never available to the public, but it is now, at Heritage Auctions. You'll have to take their word that the watch works, since it has the original battery still in there, dead for years.
Ethan Wolff-Mann is the Gear editor for Supercompressor. He is nervous skating on ponds when the temperature is over 32°F. Stalk him on Twitter @ewolffmann.