I'm going to second what MidnightPlease said: some power-ups and a variety of characters with different abilities would make this a more enjoyable game. I certainly think there's some good potential here. The vertical direction of the game reminds me of Knightmare Tower by Juicy Beast Studio, which is a great way to enhance a gamer's sense of striving to overcome a challenge — aiming to reach the peak and all that. Unfortunately, the current design makes this game not only an exercise in frustration, but also one with very few rewards.
I would recommend one of two things: either 1) change the control mechanics so that gamers have a better opportunity to employ skill in trying to be successful; or, if you're set on keeping the element of luck/randomness, 2) liven up the gameplay by allowing various power-ups/upgrades to be obtained on the way up the tower.
(The music is somewhat repetitive and simplistic, but I kind of like the beat!)
Keep up the good work.