my 6 sometimes takes 3 seconds using Touch ID to unlock while others it takes half a second but 3 seconds seems to be happening a lot more
iPhone 6, iOS 9.0.1
Did you already try to reset the phone by holding the sleep and home button for about 10sec, until the Apple logo comes back again?
You will not lose data by resetting, but it can cure some glitches after installing new software.
Next step after that would be restoring the phone again:
Use iTunes to restore your iOS device to factory settings - Apple Support
When using Touch ID on my ), sometimes it takes 3 seconds to unlock and go to the home screen
