UPDATE 1/20/2020: According to multiple players, the achievement is currently glitched and unobtainable. Beating the clock will currently not unlock the achievement.
Using Chris' method I seemed to always be too slow in which I wouldn't get the achievement or I'd be knocked off by the three pendulums on the backside of the puzzle. I found a cheese method that seemed to work a lot better for me.
Pretty much, I jumped to the first platform letting the pendulum fly past me from right to left before getting up, and from there I would wait for the pendulum to come back down where I would jump on/into it and held on for a short ride. Upon it reaching its apex on its right side I would let go falling into the grass. From there I jumped up the couple steps to the left of the column. On the top step I got a running start, just to be safe, and jumped up to grab the falling bridge. Let go once you can safely land on the grass below and the achievement should pop.
If you are a visual person instead of a reading person then I have placed my game clip of my run that I earned the achievement on.
If you fail to grab a hold of the pendulum or fall at the bridge I recommend restarting last checkpoint to ensure the timer restarts.