It should be fine. Newspaper ink is soybean based and has been for quite some time now. It's non-toxic, but still pretty messy.
Edit: I just looked it up, and it appears that only 1/3rd of the newspapers in the U.S. use soy based ink. The others still use petroleum based inks, but it still appears that those aren't toxic either: http://ohioline.osu.edu/cd-fact/0122.html
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