Interesting idea, I think it could be improved in a few key areas.
The cooldown on being able to throw the sword doesn't really add anything, it just means as a player you spend more time just doing nothing. It'd be better if you could throw the sword once you got it back. Also, the amount you move based on how much you throw the sword doesn't seem to be consistent. Sometimes I move a lot, sometimes only a little bit.
The platforms in story mode don't seem to be connected, I wasn't sure how I was supposed to get from one to the other. I tried just moving over the void, and that sometimes worked, but sometimes just instantly ended the game. I couldn't work out why that was. From the screenshots there's some cool new areas I didn't get to, because I couldn't work out how to get from island to island.
If the movement just felt a bit better, and it was clearer where you needed to go, I think you'd have a much better experience. Nice take on the theme though!
- Joe
(if you get a chance to check out our game, that'd be awesome ^_^ )