This certainly has a potential. I have a couple of negatives:
1 - I think it could have done with a few more levels at least. You introduce new mechanics but never explore them much (enemies, keys, walljumps).
2 - The running seems to be this way intentionally, but I don't get the point since you can just cheese it just by alternating left/right and build up momentum. I'd go for a simpler but still tight horizontal movement.