Denmark's Thomas Bjorn equalled the course record with a 66 and is four off the lead.
Five other players also eclipsed Keith Horne's two-day course record of 66 but Scotland's Montgomerie remained philosophical.
The two-time Olympic 10, 000m champion was unable to threaten the 2005 course record of 59 minutes 05 seconds.
The round set a new official course record, beating Bradley Dredge's 64 in the 2006 Dunhill Links Championship.
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Bickerton, eight back at the start of play, fired a course record-equalling 63 to set up the play-off.
Radcliffe finished in 23rd place, unsurprisingly four minutes outside her course record time.
Okayo shattered her own previous course record of 2:24.21 by nearly two minutes.
Playing quickly and happily, in contrast to Woods's brooding Hamlet, the young Ulsterman shoots 63 to tie the course record.
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Smith smashed the course record by 20 seconds at the warm-up event for next month's big race in the capital.
Kenya were also celebrating in the women's race which was won by Margaret Okayo in a course record of 2:22.31.
I've got a pretty good record at links golf and I also held the course record at Kingsbarns for a couple years.
"It's tough to shoot a course record with three bogeys, " said Kerr.
She set a course record of 1:08:52 in 2011 and finished this year's race in 1:09:09, 3 seconds ahead of Burundi's Diane Nukuri-Johnson.
Graeme Storm, another Englishman, equalled The Belfry course record with an eight-under-par 64 to nestle amongst a group of players on six under.
Wales' Garry Houston is among a group on seven under after equalling the course record with a 63, while Lee Westwood is four under.
The Briton, who claimed a course record 12-under-par 60 on Thursday, holed seven birdies and two bogeys to finish the round on 17 under.
In doing so he broke the course record by seven minutes.
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Kaymer's round was just one short of the course record, but while the German had a fine day some high profile names failed to make the halfway cut.
Stallings had a 6-under 29 on the front nine, one off the course record, and was 13 under with a one-stroke lead when he got the 428-yard 15th hole.
Rosie Jones is third in the 20-player field at 10-under 134, a stroke better than first-round leader Michele Redman, who matched the course record on Thursday with a 65.
His eight-under-par round equalled the course record at Saujana's Palm layout, known as "The Cobra'", but will not count for record purposes due to the preferred lies in operation.
In a massive upset, the 1972 Epsom Derby winner Roberto ran the race of his life to beat Brigadier Gerard by three lengths, smashing the course record in the process.
Bradley shot 10-under 60, completed by that short birdie at the 428-yard ninth hole, to break the TPC Four Seasons course record and match the best round ever at the Nelson.
In October, Rose again came close to a first US Tour victory at the Disney Classic in Florida - having opened with a course record, again he slid back to fourth.
Worksop golfer Westwood, who was within one shot of equalling the course record of 63 on Friday, picked up two shots on the front nine to reach the turn in 36.
Johnson, the 2007 Masters champion, finished tied on 265 following a final round of 70 -- 10 shots worse than his course record-equalling performance on the penultimate day at the Resort Course.
The course record was set for the second time in two days at the Samsung World Championship as Cristie Kerr hit a stunning eight under par round of 64 to take the lead.
He followed his opening 62 -- one shy of compatriot Ernie Els' superb course record -- with a two-under 70 in tougher conditions on the second day on the Majilis Course at the Emirates Golf Club.
Dane Thomas Bjorn is in a group two shots behind Storm after a 64 that stood as the course record until Swede Robert Karlsson posted a 63 later in the day to join the group one behind Storm.
The German won by 0.013 seconds, and although Prock set a course record with his third run, his fourth was only good enough for seventh and the title was Hackl's who had finished in the top two throughout.
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