But the Terrapins couldn’t take advantage and managed just four baskets in the first 12 minutes.
Maryland seemed to find its stride after that with an 11-1 run — Allen had seven points and Charles Mitchell four — to grab a 27-18 lead with 4:46 left.
Clemson coach Brad Brownell called time out and whatever he said must’ve gotten through to the Tigers, who responded with a 15-5 spurt to halftime to move in front 33-32.
Layman, one of four Maryland players averaging double digits this season, had zero points and missed his seven first-half attempts.
McDaniels had a leaning basket and a 3-pointer during the run. He fed lanky freshman Austin Ajukwa for the go-ahead layin.