No. Only shampoo, toothpaste, and baby formula can be used in acts of terrorism.
(I try not to fly anymore because of the foolishness and hassle involved).
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It is not a gel, liquid, or cream so I can't see talc breaking any TSA rules. However, I would not advise choosing to transport the talc by putting it up your nose.
Ditto. I avoid it if at all possible to the point that I took Amtrak on a 700+ mile trip.