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Guest post by "JD"
I'm not too sure any of those would work out too well. Think about how the gum is activated: tap right - tap right - deliver left (with the gum). The gum is placed on the object being affected.  So, how would you activate the gum on a thrown object? And if you were lucky enough to hit your target with the gum side, it would be the object which was affected, not the target, so your grenade may come hurtling back at you much faster than you tossed it.
Sticking it to a wheel would press the gum each turn as well as any wheel on the right side, so by logic it would never activate.
Sticking it on a baseball bat, if it could be activated in some way, would result in the bat rebounding from the ball rather than the ball flying off into space, since the gum affects the object it's attached to.  Notice Chrys didn't put the gum on her fist.

But yes, I could see some wonderful possibilities. Just theorizing, of course. Feel free to shoot me. In fact, you could try sticking some gum to one end of a rod, tapping it twice with your right hand then, using your left hand, slam the gummed end against a wall with the other end angled toward me.