Woods has won the Memorial Tournament five times, the last of which awaits in 2012
Tiger Woods feared at the Memorial Tournament after a four-over 76 left him on top three, one shot outside the projected cutmark.
The American played in his first PGA Tour event after the interruption of the corona virus, set the event a record five times and never missed the cut in 17 starts.
World number one Rory McIlroy had a level par 72 to stay two below
Ryan Palmer (68) and Tony Finau (69 ) led on nine down with half of the field still to complete their second round.
] Nocturnal leader Finau dropped two shots in his first three holes, but three birdies in his last five holes saw him level with Palmer, who has only had one bogey in his first two rounds.
They lead number two Jon Rahm with one shot after hitting a five under 67. A victory this weekend saw Rahm only after Seve Ballesteros become the second Spaniard to lead the world rankings.
McIlroy and Woods are fighting hard
McIlroy in Northern Ireland had a disastrous start, with his first hole, the 10th, and then double bogey the 11th after driving in the water from the tee.
A pair of birdies on the 14th and 15th holes were followed by another bogey and after canceling another birdie with a bogey on the back nine, he pierced a nine foot leg for eagle on the fifth and birdied on the sixth to accommodate three.
His round, however, ended disappointingly with a three-putt bogey from 33 feet on the ninth.
Woods, playing alongside McIlroy and during his first professional event in five months, he dropped six shots in eight holes and was sure to miss the cut when he also boosted the sixth and left him five with three to play.
He rallied with a birdie on the par-five seventh and rolled into a 20-foot birdie putt on the eighth to reach three.
However, a wild drive on the par-four ninth meant he could not reach the green in two and he had to settle for a par and wait nervously to see if the cut mark pushed away by a shot.
"Well, not very well," was Woods' assessment of his round. "I made two holes early with three putts and whatever momentum I wanted to create, I suppressed that early and fought the rest of the day."