Dingo, thank you very much for bringing up the use of baking soda as an anti-perspirant. I've tried it now for a while, and in my experience as well it absolutely works wonders! The best of the "non-poisonous" options, imo.
How do you keep the Baking Soda under your arms?
Maybe dumb question, but I tried different things and I'm tired to clean my bathroom off the white stuff again -
looks kinda funny on a colored towel - as if I would engage in illegal things 
Discovered that way however that it is useful as bathroom scrubbing cleaner - with a bit of lemon juice!
EmmeYa
I recently found a recipe for deodorant on the website Laura recommended for canning bacon.
It is here: _http://ruralspin.com/2012/09/10/five-ingredients-for-an-effective-homemade-deodorant/
Here is the basic recipe - the full article describes what each ingredient does. I have the ingredients and it is on my list, but have not made it yet. One caveat - I would not use the glycerin. I have read that it draws moisture OUT of the lower layers of the skin, drying it from the inside out. I don't think leaving it out will matter. See here: _http://www.natural-health-information-centre.com/glycerin.html
INGREDIENTS
1/4 cup baking soda
1/8 cup aloe vera gel (99% pure)
1 tablespoon vegetable glycerin
1/2 tsp coconut oil (you can use another type of oil, like apricot, if you wish)
1/8 tsp tea tree oil (use lavender oil if you are pregnant or allergic to tea tree oil)
Place all ingredients except for the tea tree oil in a small saucepan and heat on low heat until combined, stirring constantly. You don’t want the ingredients to boil, you just want them to warm until everything is evenly incorporated and smooth. Turn the heat off, add a small bit of tea tree oil and stir thoroughly. I then pour mine warm into a small, 1/2 cup jelly jar and keep it in my bathroom. Apply with fingers and that’s it!
I was using baking soda for awhile and found it quite effective myself. What's interesting now is that the longer I'm on the diet, there seems to be little need for deodorant at all as I find I don't really perspire the way I used to and if I do, there's no offending odor as before. I'm wondering if the process of switching over to ketosis changes the overall composition of perspiration - meaning that while water and salts are still lost, perhaps because there are few or fewer toxins for the body to release, there's less of a smell? Maybe it's those substances that cause the odor in the first place? If so, seems this diet is becoming more and more cost effective by the day. 
I am noticing that myself - the lower the carb intake the less need for deodorant. However, when the temperature is around 90+ degrees, I decided it was best to be on the safe side, so I tend to use it anyway. Perhaps it won't be necessary at all by winter.