The Volunteers lost 16-9 after quarterback Jarrett Guarantano threw three straight incompletions near the goal line with time waning.
"We felt like some of the divide zone stuff really worked well for us, as far as dividing the flow", Muschamp said.
Tennessee entered its home game against SC coming off what embattled head coach Butch Jones called one of his best bye weeks ever.
The Gamecocks didn't force any turnovers Saturday but with seven sacks and all the third-down stops during Tennessee's fruitless second-half, they didn't need any. But with four seconds (left), that's when we thought about it.
"I am proud of our players", Jones said. "I told him just to keep his head up". Cimaglia added one more 24 yard field goal in the second quarter to give the Vols a 9-3 lead at halftime.
Watch the final play of the game below.
The Vols (3-3, 0-3 Southeastern Conference) play at No. 1 Alabama next week.
South Carolina: The defense was mostly responsible for this victory, but South Carolina's offense also deserves credit for regrouping after losing running back Rico Dowdle to an injury early.
Tennessee quarterback Jarrett Guarantano (2) picks up a first down.
White entered the day 4 of 11 on field goals this season but made all three kicks he tried against Tennessee.
Guarantano sat along the sideline lamenting his inability to come through in the clutch, when Gamecocks signal-caller Jake Bentley came over and consoled him.