Standing in the beam line of a neutrino detector
arstechnica.com
arstechnica.com
Several physicists weigh in on what would happen if you were to place your hand in the proton stream of the Large Hadron Collider at CERN.
http://kottke.org/10/09/putting-your-hand-in-the-large-hadro...
They are generating a 1km wide blast of neutrinos in suburban Chicago and sending it 450 miles through the ground to mine in Minnesota.
I had to read parts of the article 3 times and follow some of the links to make sure that is really what is going on.
Goodbye satellites and fiber-optic cables, we can now transmit ones and zeroes straight trough mother earth.
The technical issues are what make your question go from whimsical to silly. The article describes just how difficult it is to create neutrino's going in the direction you want them to go in the first place, then interacting with them once they exist and are headed in the right direction.
For any sort of communication to occur using neutrinos you would need to reliably be able to modulate them at the source end and de-modulate them at the destination.
There was a "paper" (and I put that in quotes because it wasn't even a modest piece of reasoning) that proposed neutrinos as the medium by which extra-sensory perception (ESP) was created. Neutrinos passing through the brain of subject A being modulated by their thoughts and then detected in the brain of subject B. At least with this setup at Fermilab you could set up an experiment to test that hypothesis by having your subjects sit in the beamline. (something the paper did not provide was any way to experimentally testing their theories).