Well I was in SK in 1991 and the nukes were still there. Article in the Stars and Stripes about them.
Congressioinal Research Service--Nonstrategic Nuclear Weapons
Then, in 1991, President George Bush, and Soviet President Mikhail Gorbachev, each announced that they would withdraw from deployment most of their nonstrategic nuclear weapons and eliminate many of them. These 1991 announcements, coming after the abortive coup in Moscow in July 1991, but months before the December 1991 collapse of the Soviet Union, responded to growing concerns about the safety and security of Soviet nuclear weapons at a time of growing political and economic upheaval in that nation. It also allowed the United States to alter its forces in response to easing tensions and the changing international security environment. Consequently, for many in the general public, these initiatives appeared to address and solve the problems associated with nonstrategic nuclear weapons.
The United States implemented these measures very quickly. Nonstrategic nuclear weapons were removed from bases in Korea by the end of 1991 and Europe by mid-1992. The Navy had withdrawn nuclear weapons from its surface ships, submarines, and forward bases by the mid- 1992.