If a person insults me on Twitter, do I have the right to report it?

Yes indeed, to the cybercrime dept. at any police station in the Emirates.

Hi,

Pursuant to your query, any commentary posted (anonymously or not) on any social website in the UAE may lead to criminal charges for defamation.

Statements which insult a person's honor or the reputation of their family will also be subject to penalties at the more severe end of the scale.

You have the right to file a criminal complaint at the police station.