Are you talking about this?

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I've been told that it's caused by the rubber reacting to a specific chemical used in several household cleaners, hand soaps and sanitizers. Supposedly that type of rubber was also widely used in toys during the 60's and 70's, and it's become an issue among those collecting communities as well.

I've been giving my DS3 sticks a periodic scrubbing with warm water and a paper towel. Seems to solve the issue for me. Probably not the ideal solution for those who play daily, though.