Controls are tight and concept is neat, but I did notice on the second instance of getting the gum you have no room for error. Placing the gum in the wrong spot forced my character to jump into spikes to restart.
Maybe you could have character blow a bubble allowing you to throw it. While the bubble is on the wall after X amount of seconds it deflates gives the player the ability to blow another bubble . Maybe there is X amount of charges on how many bubbles can be present in the game once for the wall jumping mechanic. This gives the player room for error! At least in the first level ha. Just an idea!
I also did not realize that the gum stuck to objects at first, because I initially tried this by jumping + arrow + throwing gum and the gum did not come out.
Good news is that you have a cool concept to build off of!