Wow! Looks super polished (you even have an edge-wobble animation!!) and I love the unification of common necessities into a single versatile tool (/verb?!)
As others have mentioned, I think it needs a slightly different control layout for tighter platforming (perhaps two sticks and then the triggers for jump and throw??), but I can definitely see the mechanic being extended to a full-release puzzle-platformer full of interesting challenges! Would love to see more!