Like Grispie I was a little surprised at the question as I've not noticed purple fringing to be a big issue with this lens. But I decided to go back and look in Lightroom. I have just under 700 keepers taken with the 12-24. I was honestly surprised as some of the photos were in my portfolio and a couple were best sellers, I just had not remembered that I used the 12-24 for them.
That said, I did find some really bad examples of purple fringing. Shots through trees with a bright sky for example and a few with buildings or equipment against a bright sky showed noticeable PF. The standard response is that Lightroom will clean that right up
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So my answer is: under the right conditions the 12-24 can show some really bad PF, but in most cases it isn't an issue. I suppose your style of photography will come into play here. For me I noticed it to be an issue in maybe 5-10% of the shots I have as keepers. Of course there is no way to know how many I deleted or for what reason. But otherwise I really like the lens. I'm sure the new 11-18 is 'better' but I'm going to stay with the 12-24 on APS and the 15-30 on the K-1.