Virginia coach Tony Bennett was so excited about his team's first win at Clemson in seven years, he wanted to scream in celebration and pump his fists with his players in the locker room.

He didn't, though. That's not how the 17th-ranked Cavaliers built their longest Atlantic Coast Conference winning streak in 32 years and isn't how Bennett believes they'll go forward.

Joe Harris had 16 points, including a critical 3-pointer with about three minutes left, and Virginia won its ninth straight ACC game for the first time since Ralph Sampson dominated the middle there in 1981-82.

It also snapped a four-game losing streak at Clemson, enough reason for some postgame hoopla.

"But I said, nah," Bennett said with a smile. "Just told them, 'Great win. Hard fought. Made plays down the stretch.'"

That's keep with Bennett's steady approach at success. It's a stepladder, he tells his players, where you must carefully climb. "You put two feet on that step and everything you've got," he said. "That's the most important one."

The Cavaliers (21-5) moved to 12-1 in ACC play, also for the first time since Sampson's days. Not that it came easily as Virginia's No. 1 defense was matched up against a team in Clemson that ranked second nationally in fewest points allowed.

The Tigers (15-9, 6-6) trailed 49-48 on Rod Hall's layup with 3:38 to go. That's when Harris struck for a 3 and Anthony Gill followed with a three-point play for a 55-50 lead.

Clemson closed to 59-58 on K.J. McDaniels' 3 with 20.7 seconds left, but Malcolm Brogdon made two foul shots as the Cavaliers held on.

McDaniels had 24 points before fouling out in the final seconds. He was Clemson's only player in double figures.

"It does get to a point where we've got to all step up as a team," Tigers forward Austin Ajukwa said. "One person can't do everything. We've got to step up and fill our roles."

Virginia's players have done that.

Brogdon and Mike Tobey had 14 points each. The 6-foot-10 Tobey was a force underneath, making seven of nine shots. Gill had 12 points for the Cavaliers.

Virginia continued a roll the school hadn't seen since Sampson's stellar days. The Cavaliers also won a sixth ACC road game, the first time that happened since Sampson's senior year.

The Cavaliers had already clinched their third consecutive winning mark in ACC play, something they last achieved in - you guessed it - during Sampson's final three seasons.

That's got fans back home excited about what's accomplished and counting on bigger things ahead. Brogdon said it gets hard to navigate at times with fan recognition and the delight they take in each victory. "I think as long as we can really block that stuff out, we'll continue to play at a high level," he said.

Virginia came in with the nation's top defense, allowing just 55.5 points a game this season.

But Clemson's defense is right behind, second nationally at 55.7, and stood strongly against the Cavaliers over the first 20 minutes.

The Tigers showed some scoring punch early, making their first six shots and eight of their first 12 to lead 21-14 after DeMarcus Harrison's 3-pointer with 8:30 left in the half.