The Martial Arts Maneuver Two Weapon Style from Arsenal (p. 160) allows you to use the Full Defense option in addition to an attack (using one weapon to attack, while defending with the other).

This should be Full Parry, or not? Full Defense also includes stuff like Gymnastics Dodge...

Bye
Thanee

Holding something in both hands should dramatically improve your ability to somersault and do back flips.

But seriously, it allows you to use the Full Defense option with one of the weapons, so if your melee skill is one of the components of your gymnastics dodge, I don't see why it would be that different. Conversely, you would not be able to get it for "free" if you used the dice pool of dodge + dodge + reaction, or dodge + gymnastics + reaction.