I was browsing around a couple days ago and came across a few examples of how to avoid using deodorant.
Citrus Fruit: Since citrus fruits are high in acid, they are capable of killing off bacteria on skin (ie under the arms) not to mention their natural fresh smell. Rubbing the fruit in you'r pits can however become sticky
inch:
Antibacterial gel: This is kind of off, since the point of avoiding the use of deodorant is to avoid the intake of the toxins it, or not buying it from the big corporations that run our quaint little society (sarcasm intended) but this also pertains to the fact that sweat only stinks when it hits bacteria, therefore, if you are in need not to stink for some special reason, then this is the way to go if you find yourself with no oter choice.
I thought this was pretty interesting. Have fun.