Had no idea this had been happening for so long. I experienced this on two separate occasions now -- on May 19th and just last night. Posted under another thread that had been started elsewhere on the forum where it was just seemingly the OP and me experiencing it.
My iPhone is a Personal 6+, original owner, no managment, no blockers etc. From what I've observed it does pop up on Home screen only. Apple Support had me first wipe the Safari web history like mentioned above, then had me Reset All Settings (still feeling the effects of these two moves). Had me change my passcode and I re-did my fingerprint. On the 19th I was on 9.3.1. A few days ago updated to 9.3.2. And then last night got hit with the Requirement screen again. Prior to the 19th I had never seen this. The Passcode Requirement Screen did countdown everytime I would ignore and turn the phone off and then back on. Got down to 4 minutes and I was more concerned about possibly bricking (wondering if this was something like the 10 passcode "guess" bricking of locked phone I had heard about--not a tech person
) so decided to change the passcode before time expired. Did notice a prompt for Pass
word to be entered however in the entry field). Not sure why it was always asking for Passcode but then a Password at this juncture. As someone else above mentioned, the Screen asked for a 4-digit, despite after the 19th I had set it from a 4-digit to a 6-digit! Very bizarre to ask for weaker security and this whole matter doesn't leave me with a comfortable feeling. Have not called Apple Support again, may do so on Tuesday under my Case number from the 19th to let them know "IT'S BACK!!"