Jainism* has mentions of 'અનંતા' and 'અસંખ્યાતા' (Infinity) in its scriptures as existing reality in nature, whereas Science describes it only as imaginary and meaningless. Neutrinos does point out the limitations of Humans when it comes Science knowledge. I would never say that Jainism beats Science, with discovery of Neutrinos. In fact, Jainism can help Science to progress. It can show the way, point to the right path, direct scientists to the right line of thought!
Discovery of neutrinos, as I said, breaks the barrier of mind and it tells us that Neutrinos may not be the limit. There could be something beyond Neutrinos- faster than that, may be infinite times faster, has infinite power, may neither be matter nor antimatter - a 'matterless omnipotent' , as described in Jainism as Soul!
*Jainism is just one representative of the Spiritual thoughts in my mind, and there are various philosophies/religion that have mention of Soul and other theories that I mentioned above.