I ran into a really weird bug on iOS9.0.2 on my iPhone 6s+. I was trying to copy someone's number from the recent tab in the phone app and was not able to do it properly. It seems to copy the number several times in the clipboard. Here is a video of the glitch in action. Let me know if this happens to your iphone.
I also ended up with this weird screen after doing for the third time:
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