It appears that there is a genetic link between nicotine addiction and autism, in the neurexin-1 gene, which creates an excess of neurexin-1 beta protein, which aids in nerve cells linking up with nicotine like substances to neuro receptors, in people addicted to nicotine.
It turns out that the levels of the protein, and the gene, are deficient in some people on the Autism spectrum.
It raises some interesting questions, though at this point I would be very cautious, and I think that a first step would be to compare smoking and non smoking populations of people on the spectrum.
The fact that quack physician Jeff Bradford has apparently already started putting nicotine patches on his patients should not be viewed as significant by anyone except, perhaps, for malpractice lawyers.
Giving small children nicotine is an invitation to injury or death, because a nicotine overdose can kill someone very quickly.