This is a beautiful game. I mean, the graphics are not the good and game play is not optimized but yeah the game itself is a one kind of treasure. You should build a good version from this with someone, because this could be a very valuable game mechanic for mobile platforms.
Everything here works together: you have a simple but attractive goal, you have a grace to survive from more than of from 1 hit, you have an interesting opponent. You have 2 side to walk on, but before moving on to other side, you have to check if there is anything in other side, which makes this challenging. Modifying is easy; The different levels may contain new type of small spiders, "the bullets", there could be more levels, different player characters, etc. This game has even a story.
I would rather to use screen-slide movement ("Helix Jump" - type of movement) to move the spider; now it is just to slow to react. You should balance this game and create new levels and build an mobile version from this. You might need an artist, even a team. Keep on with this, because this has very valuable game play mechanics and player can see all game play value on the first play. This can be a really good hyper casual game for the world.