Good news for Instagram users, as a new capability is now available called Instagram photo tagging, and it follows on the popular feature already present on Facebook.
The new capability is now present on the new version of Instagram app available on iOS and Android. The way it works is that users are able to tag photos of any person or brand, and as a result photos will display the tags under "Photos Of You” section of users profiles.
It is quite to similar in comparison to the way it works on Facebook, as it follows that users notifications are sent to anyone that is tagged where permissions are requested before publications show a user tag, as standard. Further details concerning privacy can be seen here on Instagram Help Center.