And Tigers coach Dabo Swinney thinks this is only the beginning.
Chandler Catanzaro kicked a 37-yard field goal as time expired to give No. 14 Clemson a wild 25-24 win over No. 9 Louisiana State in the Chick-fil-A Bowl on Monday night.
Trailing 24-22, Clemson (11-2) took possession on its 20 with 1:39 remaining. Boyd passed to DeAndre Hopkins for 26 yards on a fourth-and-16 play during the decisive 10-play drive.
Catanzaro's kick set off a wild celebration on the field and in the stands. Some players collapsed on the field in apparent disbelief while most of Clemson's orange jerseys met in a midfield circle.
Clemson reached 11 wins for only the fourth time in school history and the first time since the 12-0 1981 team.
"You can't win 12 until you win 11," Swinney said. "You can't win a national championship until you learn how to win games like this.
"This was a landmark win."
Catanzaro had an extra point blocked in the second quarter, but he said that didn't cause him to doubt his chances to make the last-second field goal.
"I was ready when the opportunity came to me," Catanzaro said. "It was next-kick mentality. I was so thankful for the opportunity."
Catanzaro, a former walk-on from Greenville, S.C., made 16 of 17 field goals in the regular season.
"I didn't have any doubt," Swinney said of the junior kicker. "He's just a clutch player all the way."
Boyd completed 36 of 50 passes for 346 yards with two touchdowns and no interceptions. He set career highs for attempts and completions while winning the game MVP award.
"Tajh Boyd was phenomenal," LSU coach Les Miles said. "I did not expect the heroic, if you will, efforts that he had."
Hopkins, who had 13 catches for 191 yards and two touchdowns, also had receptions for 7 and 13 yards in the final drive. LSU safety Greg Reid was flagged for pass interference while defending Hopkins.
Jeremy Hill ran for 124 yards and two touchdowns for LSU (10-3), which carried a 24-13 lead into the final quarter.
After Hopkins' second TD catch, LSU got the ball with 2:43 remaining and threw three straight passes. Only one was complete in the three-and-out series that took only about 1 minute off the clock, leaving Clemson with enough time for its winning drive against LSU's exhausted defense.
Hill did not have a carry in the fourth quarter.
"We had to throw the football," Miles said.
"We were not running the football. They were in a position where they outnumbered us in the run."
LSU's three passes allowed Swinney to save his timeouts.
"I had three timeouts," Swinney said. "If he runs it three times, I can call timeout, timeout, timeout.
"I think (Miles) was trying to win the game. I think he felt confident in the plays. I know he knew he needed to get a first down, because if he gets a first down I have to start burning timeouts."
Boyd said having 1:39 to stage the final drive "is like having 10, 15 minutes for us."
"When I saw that clock and that we had three timeouts I said 'Let's get it.'"
LSU quarterback Zach Mettenberger was sacked six times and completed 14 of 23 passes for 120 yards. He also threw for a touchdown and an interception.
"It's a tough thing to figure our pass protection was as poor as it was," Miles said. "That's the piece that needs fixing and frankly we've got some young players here we'll address and improve and make some strides going forward."
LSU scored 10 points off Clemson's two lost fumbles, including one by Sammy Watkins on the second play of the game that set up Hill's first touchdown.
Hopkins scored on an 11-yard reception in the second quarter and a 12-yard grab in the fourth. LSU's Bennie Logan blocked Catanzaro's extra point attempt following Hopkins' first touchdown.
Clemson had a chance to tie it after Hopkins' second TD, but Boyd's pass for the 2-point conversion was incomplete.
Michael Ford had a 43-yard kickoff return for LSU to open the second half. On first down, Hill broke through the line for a 57-yard touchdown run. His 12th rushing touchdown broke Dalton Hilliard's LSU record for a freshman set in 1982.
Clemson lost Watkins to a right ankle injury on his early fumble. X-rays were negative.
Clemson already was without backup receiver Martavis Bryant, who was suspended for the game for failing to meet academic requirements.
Clemson's second costly fumble came midway through the third quarter. Andre Ellington ran for 8 yards but lost the ball when hit by defensive end Sam Montgomery. Reid recovered the fumble at the Clemson 29, setting up Drew Alleman's 20-yard field goal.
The injury to Watkins left the spotlight on Hopkins, Clemson's leading receiver. He had catches of 17 and 12 yards as Clemson pulled even with an 11-play drive capped by Boyd's 11-yard touchdown run.
After LSU regained the lead on Mettenberger's 6-yard touchdown pass to Jarvis Landry, Hopkins had a 31-yard catch to set up his 11-yard score late in the second quarter.
Hopkins' sliding grab gave him TD receptions in 10 straight games to set an Atlantic Coast Conference record. Virginia's Herman Moore had touchdown catches in nine straight games in 1990.
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