*Spoilers ahead*
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1. Jump through the first block and wall grab the left side of the second block
2. Jump back and wall grab the right side of the first block
3. Jump and wall grab the right side of the second block
4. Jump to left side of top-most block
5. Jump up and around the top-most block and grab the left side of the right-most block
6. Drop down and grab the right side of the bottom-most block
7. Jump up and around and land to safety
3, 5 and 7. In short the steps, where you have to reverse your momentum. I get it's a skill thing and just about practice. The one time I got through all the steps to the next part I just panicked and jumped to a tile that wanished :) But from what i saw that part is mainly just about timing and not too much skill.
Now that i tried again for a while, more difficult part for me is "catching" the small segment of a wall between spikes while falling from a higher place. As in while my falling momentum is greater. But with practice I'm getting better.
Key for steps 5 and 7 is to press and hold opposite movement direction just a fraction of a moment after jumping from wall.