There's two notable use cases for this, post-taboo.
By the Book Roland with Directive: Red Tape, or Leo with his buddy Chuck.
Fast double actions still cost one action to play (they don't cost the basic play action, but the additional cost of an action is not ignored), so it nets out to four attacks for two bucks and one action. You wouldn't really want to play it against something engaged with you, but the ability to sprint two locations away and unleash four attacks can be clutch. It's a tactic, so a single copy can sit on Stick to the Plan for emergencies.
Leo+chuck can also theoretically trigger it off-turn via Quick Thinking/Swift Reflexes/Honed Instinct, but it's somewhat unclear how that would resolve. Per the ruling for Carson Sinclair, using Rite of Seeking off-turn would eat all your actions if you haven't acted yet, but Flurry does not explicitly lose your remaining actions; it only ends your turn if it is your turn. Since it is not your turn per the same ruling (despite the confusing addition of 'as if it were your turn'), the implication is that it can be used off-turn without consuming your real turn.