Super Jump is a high level ability of the Dragoons. The ability becomes available starting at level 50. When used, the Dragoon will leave the screen for a few moments. If he has a Wyvern at the time, it will use a similar ability called Super Climb.
The jump itself actually does no damage; however, it does reduce the Dragoon's enmity to zero. Super Climb will not reduce his Wyvern's enmity though. A dragoon can use this ability once every ten minutes.