Through the years, various locals have put on webcams so as to monitor their businesses, weather and nearby activity. As you would expect, the list changes all the time but here's a few of them you might enjoy...
http://www.naxosisland.eu/ (opens in new window)
https://www.flisvos-sportclub.com/flisvos/naxos-webcams-weather/ (opens in new window)
https://www.skylinewebcams.com/en/webcam/ellada/naigaio/kyklades/naxos.html (opens in new window)
Let us know is you have a webcam you would like to add.