Time: March 15, 2017
Frequency: 100%
World name: Exodus
Character name: Horatio Teakettle
Class/Level: Scholar 60
Party or solo: Either

Steps:
1. Summon your fairy using Summon I or II
2. Begin casting Summon I or II
3. Near the end of the cast, repeatedly mash the button for Dissipate
4. Notice that the fairy is still summoned even though you're under the effects of Dissipate

This has been reproduced by many different people on different platforms.

Here is a picture of me having a fairy, while gaining the Aetherflow and Dissipation effects: http://imgur.com/a/ceEYZ