| Claxon |
Seems like a strong maybe.
You can make quick, defensive movements.
Prerequisite(s): Int 13; Combat Expertise or brawler's cunning class feature; Lunge; Outslug Style; Outslug Weave; Weapon Focus with the chosen weapon.
Benefit(s): While using Outslug Style, you can move an additional 5 feet when making a 5-foot step.
From this, I extrapolate that the 5ft step really becomes a 10ft step that is still called "5ft step".
quote]Mobile Defense (Ex)
At 9th level, a stalwart defender can adjust his position while maintaining a defensive stance. While in a defensive stance, he can take one 5-foot step each round without losing the benefit of the stance.
This says as long as you take only 1 5ft step you can maintain the benefit.
If Outslug Sprints ability keeps the movement classified as a "5ft step" despite allowing for 10ft of movement I think it works.