Gutekunst was the interim head coach after Lou Holtz left for Notre Dame.
Minnesota's Valdez Baylor scored on a 1-yard run in the fourth quarter to lead the Golden Gophers to the victory over Clemson, who committed four turnovers.
In a losing effort, Kenny Flowers ran for 148 yards on 27 carries.
[1] Gutekunst would become the full-time head coach for Minnesota starting the following year, which culminated in an appearance in the Liberty Bowl, their last appearance for 13 years.
Clemson kept rolling, making four more bowl games in the decade.