"I am definitely not taking advantage of how well I'm hitting it", Woods said. "Ecstatic about where I am".
And he was six shots behind with almost two dozen players in front of him.
Former world number one Woods and four-time major victor Rory McIlroy made a charge up the leaderboard on moving day.
However, seven missed putts from inside five feet (he missed nine all season in 2006) undid some attractive approach play and left him languishing second from bottom in strokes-gained: putting. In the opening round of the British Open three years ago, he made birdie on his first four holes and went out in 29, making him the fourth player at St. Andrews with a 29 on the front nine. And then he stalled, just like he did on Friday.
That didn't last long.
"But I hit it really good this week, so that's a positive going into Shinnecock, where ball-striking is going to be a must".
"I know I shot 68 today, but again, that's probably the highest score I could have possibly shot", Woods said. "I play beautifully actually". He missed a 3-foot birdie putt on the ninth hole, and then missed a birdie putt from 4 feet on the par-5 15th.
Woods made Muirfield Village sound like a rock concert until storms arrived.
This year has produced the kind of golf OH fans are used to seeing.
"It could have been easily a nice little 62 or 63", Woods said.
Rory McIlroy, remarkably, has reason to feel the same way. Woods remains hopeful saying, "I'm in position where if I shoot another good round like I have the last two days I've got a chance".
Deux roquettes palestiniennes tirées sur Israël depuis la bande de Gaza
Au moins 61 Palestiniens avaient été tués ce jour-là par l'armée israélienne le long de la barrière frontalière. Aucun des groupes armés présents dans l'enclave palestinienne n'a pour l'heure revendiqué ces tirs.
McIlroy almost missed the cut, surviving on the number after two days.
Rose is 10 under, Woods is 9 under, McIlroy and Scott are 8 under, and Thomas, Fowler, and Stenson are 7 under.
DeChambeau chuckled when asked whether he was hoping Woods would make a run Sunday so they could duel it out.
Rose has a chance to reach No. 1 in the world with a runner-up finish, depending on what Justin Thomas does last Sunday.
Woods suffered three-putt bogeys on 16 and 18 to finish with a 68, tied for seventh at nine-under 207.
On the 401-yard par-4 third, Niemann had a bogey after hitting the green in 3 and two putting, moving Niemann to 1 over for the round.
Cantlay fired a 66 on Saturday that included a hole in one on the 185-yard eighth hole, four birdies, an eagle on the par-5 15th and bogeys on the 14th and the closing holes. It was his bid for another eagle that cost him.
Joaquin Niemann hit 13 of 18 greens in regulation during his third round at the Memorial Tournament presented by Nationwide, finishing at 13 under for the tournament. Going for the green at No. 15, the teenager flared it out to the right and it caught the corner of a creek, leading to bogey.
He now turns his attention to the U.S. Open in two weeks.
He is contesting just a fifth US PGA Tour event since turning pro straight after the Masters in April, and the Santiago-born teenager said he will draw on his amateur successes as he tries to win on Sunday, when the field will tee off early from the first and 10th tee as organizers try to beat expected inclement weather. She was at 12-under 204 for the tournament. She still had a two-shot lead with two holes remaining, but closed with back-to-back bogeys to fall into a playoff after shooting 73.