You said you used onItemRightClick. That is not (primarily) what the bow uses.
Again: You need to register your item as being "in use" for onUsingTick to be called at all. Look at the bow for how to do that.
That's not my problem. The problem is, the method that also the bow uses is to slow for me. I want a method that fires 20 ticks/sec, not 10 ticks/sec. I can get the method to fire and also do what I want, but it's just too slow.
I've only tried overriding the method so far. I'm very new to modding, so I don't know many ways of getting things to work in Forge.
To test if the method gets called I used the logger of the mod to log a message