We’ve datamined all the different Monk Tier set appearances for Dragonflight Season 1. The Mythic and PvP Elite sets have special animations and effects!
Monk Tier Set Transmogs from Vault of the Incarnate Raid
Monk Tier Set Transmog from Mythic Mode
The Mythic Monk tier set transmog has special lightning and flame effects attached to the Helm and Shoulder pieces! You can see these effects in the video below.