Grey circle on lockscreen iPhone 5s?

This is going to sound really vague, but a girl in my class has an iPhone 5s and when I looked at it I saw that she had a grey circle on the right of her lockscreen. When she touched it some kind of settings menu appeared.

I asked her what it was, but she just said you could get it by changing something in your settings, then she had to go. She also said she didn't jailbreak it.

So my question is if anybody knows what it is

No good

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