Question: what does it mean when someone has a moon next to their name in imessage?
Answer: what does a moon next to an imessage mean? If there is crescent moon icon in front of the text in your iPhone then it means that do not disturb mode is enabled for that particular mode. So, whenever that contact sends you an SMS or calls you then you won't be notified. ... Tap on the "i" icon on the upper right corner.