Been getting it on mine as well, although it only began in 11.1 beta 1. It really bugs me (ha ha). I submitted a report on it earlier, hopefully it gets fixed up.
I contacted Apple support for this, and submitted a system diagnosis log for their engineering team to check. Yesterday I was replied that iOS 11.0.2 has fixed the issue. But I don’t think so...
I have the same problem but mine seems to be when I use talk to text wheel keeps spinning. Only way I can get rid of it is to reset network settings but then happens again when I talk to text. Oh and mine is on a iPhone 8 plus
I just bought an iPhone 5s from a forum member here. I did a DFU restore straight to 11.02, so the phone is as fresh as it can be. Nothing installed. As soon as I wake it up I see the spinning wheel.