Spieth, Kisner and many others atop the leaderboard have taken hits in those last holes, and they'll be lurking out there waiting throughout the afternoon.
If it wasn't exactly Tigermania, it was close.
But no sooner had he done so than his six-iron to the par-three 16th trickled off the side of the green, from where he could not avoid dropping his first and only shot of the day.
Defending champion Jordan Spieth is lurking at three under after a splendid round of 67.
After Stone's memorable triumph at Gullane, Martin Vorster this week became the first South African to win the Junior British Open, over the Eden course at St. Andrews. It's not coming as easy as it did the first part of the year.
And here is Woods at the halfway point of The Open at 142, even par, but wondering what might have been.
Rose's round matched the 64 shot by American Steve Stricker in the third round here in 2007, while Australian Richard Green had the same score in the final round back when the Open was last played at Carnoustie.
A win here this week might just be what he needs to jump-start the talk about multiple majors once again.
Rory McIlroy, who is four shots out of the lead after shooting 70 on Saturday, said he's hoping the weather forecast for 15-20 miles per hour winds proves to be correct. They all dropped shots on a day when there was no time to be going backward. "It was a awful two-iron", Woods said. "But I'm right there".
"When you play well, you start shooting good scores, it's just something that you know that, if you can get it going, you can end up shooting a really low score".More news: Russian warship 'holding $176 billion in gold' found
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Woods isn't the only one who thinks so. And golf fans will continue to eagerly watch him as he chases No. 15.
And therein lies another problem for Woods.
"The ball wasn't rolling 80, 90 yards like it was yesterday".
McIlroy played in the final pairing at Augusta National with Patrick Reed and never challenged him. "Who hasn't? It's kind of a dream come true just to have the opportunity".
The American star sits level on nine under par alongside compatriots Xander Schauffele and Kevin Kisner as he aims for a repeat of his victory at Royal Birkdale 12 months ago, although there is a large chasing pack ready to pounce, with Tiger Woods right in the mix. McIlroy was within two shots of the lead until bogeys on two of his last three holes for a 70 left him four behind.
"It certainly is possible", he said. "I just need to regroup and get ready for tomorrow".
For Woods, there's an added burden. I didn't know if that would ever happen again, but here I am with a chance in a major.
Still, on Saturday he did his best imitation yet of Tiger Woods in his prime. Chasing a three-time major victor who could not be more built for links golf if he was the offspring of Young Tom Morris is quite another.
Compared to how he finished his first round Spieth was more than happy to negotiate the daunting closing holes with no further damage and his name lurking on the leaderboard. Woods' clubhouse lead lasted only a few minutes before Italian Francesco Molinari, the hottest player in the game recently, carded 65 for six-under.
Best yet, he's feeling a bit like the Tiger of old.