Wik Fable of Souls

The key to getting a good swing is to drop from a height and latch out at a purple "swing node" as you are passing it. That should give you enough momentum to swing completely around. Tilt the analog stick all the way over to the far side until you're level with the node, then tilt it back quickly the other way. Repeat this each time around.

If you're having trouble with the description above, follow the tutorial lesson in the Swingnastics mode. It will explain with images.

Once you complete three loops without detaching, the Achievement will unlock.