No problems for me on my 6s. Have you tried a reboot?
Could be totally unrelated, but I know when my iPhone/iPad is charging at home, the touch ID doesn't work. I believe it has something to do with the electrical charge coming from the wall-socket at my home, because it works perfectly fine when plugged in at work or when unplugged.
Are ya'll using genuine Apple chargers? Cheap chinese knockoffs can cause these problems, along with damage to your device. Be wary.