I actually posted the fix back on November 27. it's here: https://discussions.apple.com/thread/5400101?answerId=23934001022#23934001022
and for those who don't want to search back, I'll copy and paste it here:
QUOTE ######
Since the iOS 7.1 beta does not address this, I suggest we all ask Apple for an enhancement at http://www.apple.com/feedback/iphone.html . Maybe if everyone here does the same thing, we can get a faster response. Feel free to copy and paste. I just submitted this:
Subject: Touch ID Fails after a short time
Touch ID works great initially, but fails completely for me after a few hours.
It seems to me that it fails because my prints change a little bit, and thinking they’re normal, the software adds them to the existing print. Over time, this actually degrades the existing print, until it no longer works. I suggest that you change the software as follows:
1 change the enrollment procedure to allow as many scans as I want to do
2 allow me to go back and add to an enrollment at any time
3 provide a “disable” switch in the touch id settings to disable the automatic modification of a stored print by the software
I would be willing to test these ideas, if you want.
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By the way, I actually proposed this before that date, but I now believe that Apple has that feedback link as a feel-good tool to deal with the people who can't get their stuff working, and it's not even being read!