If you make a successful attack using Flurry, do you have to stop after the successful attack, or can you use your second CCA?

You make two close combat attacks. Period.
If you hit with the first, you are still allowed to perform the second.
It's a fun power. R Wildcat is brutal.

Thanks!

Don't get jumpy with those periods!

If you lose Flurry after the first attack (such as taking damage from the targeted character's Arachnos/Mystics team ability) then you can't make the second attack because the character no longer possesses Flurry. If the character still has Flurry after taking Arachnos/Mystics damage then it can make the second attack.

That's just one example of how you might lose Flurry after the second attack. Damage Shield and Steal Energy could also do it.