Fun idea! I like the different spin on the idea of using death to progress. The animations on the bomb are great too, love the jump animation. I enjoyed using the dash recharge goo as a ladder quite a bit.
While controls work well for the other sections (having the forward momentum on your jumps makes sense for reaching explosive blocks), they're not tight enough for that strict platforming section with the pillars. I think the controls are fine (they can be a bit awkward for platforming but it works with the puzzles) , but those thin platforms need to be a bit more forgiving, as it makes that section more frustrating than challenging.