Outside specified operating voltages, interesting and totally unexpected things can happen - such as what you see, the chip stops working when expected, but starts working again after you violate the specs
even more.
You are doing this on purpose and applying an illegal voltage continuously, so you deserve what you get (

), but sometimes this can hit you in kinda normal operating conditions - like powerup or powerdown!
For example, I have seen an issue where a limited-current supply cannot "boot" an IC (IIRC it was some kind of a voltage reference, don't remember which), simply because while the Vcc is ramping up, there is a tiny range of voltages where the IC consumes tens if not hundreds of times the specified maximum current, so the weak driver was basically "shorted"; and this wasn't an AC effect. This was about tens of milliamps for a small IC normally consuming hundreds of uA max, so I wasn't expecting it. No mention about it in the datasheet.