This is a really nice deodorant. I can't use the ones with baking soda (bicarbonate of soda) after they caused a bad skin reaction (they alkalise the skin, which should be slightly acidic, so I got a painful skin infection). This has zinc oxide in so, yes, it does leave a white residue. You don't have to use a lot of the deodorant (it's fine to apply thinly) so if you're careful about how you put your top on, it shouldn't be an issue. The thing about using essential oils in a deodorant is that the oils themselves can create an odour when the bacteria on your skin react with them; this makes them a bit stinky sometimes, like old oil. This is usually where 'natural' deodorants don't work for me. This one uses Lemongrass essential oil and sometimes I don't like the smell of that particular plant, but it's very faint. Sometimes I can smell the lemongrass, sometimes I can't. I will try a different one in this range next time around but overall I'm still happy with this product.
