Quantum biology is making inroads in a few areas, such as in the mechanism of chlorophyll. I would not be surprised if it starts popping up in bits of neurology, even in the parts that we currently understand classically.
There's a huge difference between molecule-scale quantum chemical phenomena (as in photosynthesis) and quantum computation. Finding the former in the brain would be very cool, but it wouldn't be terribly surprising or revolutionize cognitive science the way the latter would.
