Frequency: All the time
World name: Doesn't matter, but mine's Tonberry
Character name: doesn't matter, but mine's Wizzed Atria
NPC name: -
Monster name: -
Class/Level: -
Party or solo: -
In-game time: -
Area and coordinates: -
Steps:
http://www.youtube.com/watch?v=27sO79UXPqs

Basically, pet skill gets resetted when the pet uses the skill, then I resummon it with a different pet. I guess the youtube video link will provide sufficient detail.