He passed the old mark of 5,380 yards, set by Ocean City's Kevin Sinclair in 1996, with a 6-yard run early in the fourth quarter. He ran for 6 more yards on the next play, then left the game.
"It's a great relief," the 5-foot-11, 205-pound Clement said.
When the game was over, Clement gathered his teammates around him and thanked them for their role in his run to the top of the record book.
"It's all about teamwork in this sport," Clement said. "They were with me 100 percent every step of the way. This game wraps around being together a team."
Glassboro coach Mark Maccarone called the night a "perfect situation," because his Group 1 team was able to score an impressive victory over a Group 3 opponent, and Clement was able to set the record before the home crowd.
Maccarone said Clement's postgame speech to his teammates was in character.
"That's classic Corey," Maccarone said. "He always put the team first. He understands that he's one of 11."
Clement has committed to attend the University of Pittsburgh but appears to be considering other colleges. He has visited Nebraska and Notre Dame this fall and was planning to leave Saturday morning for a recruiting trip to Wisconsin.
Clement also hopes to visit Alabama over Thanksgiving weekend.
Clement broke loose for a 73-yard touchdown run in the second quarter that he called "the best" of his career.
On the play, Clement started inside, cut outside, knocked over a Highland defender with a straight arm, and buckled another defender's knees with a cutback. He finished the run with a burst into the clear, and high-fived teammate Juwan Johnson 5 yards before reaching the end zone.
"I like to think I can do a lot of different things as a back - power, finesse, be elusive," Clement said. "I'm glad I could show all those different things in one run."
Clement needed 24 carries to set the record. On the drive in which he finally set the record, Clement carried for 3, 6, 3, 4, 6, and 6 yards.
"Guys in the huddle were saying, 'You need 40,' or 'You need 34,' " Clement said. "I didn't think I had that many. This was a tough game. I thought maybe I had 170 yards."
On his record-setting run, Clement took a pitch right, lowered his shoulder, and barreled for 6 yards. He finished the game with 1,468 yards this season.
Glassboro is 5-1. If the Bulldogs play six more games, Clement could break his year-old, single-season mark of 2,510.
He wants 3,000 for the season. That would give him nearly 7,000 for his career.
"That's one of my goals," Clement said of a 3,000-yard season. "But I'm more concerned with W's."
Highland 0 0 0 0 – 0
Glassboro 0 14 14 7 – 35
G: Corey Clement 1 run (Aaron Crispin kick)
G: Clement 73 run (Crispin kick)
G: Clement 4 run (Crispin kick)
G: Tony Colon 40 pass from Mike Gillespie (Crispin kick)
G: Jameel Murray 9 run (Crispin kick)
Contact Phil Anastasia at email@example.com, or follow on Twitter @PhilAnastasia. Read his blog, "Jersey Side Sports," at www.philly.com/jerseysidesports