OPhiura here.....I just happen to work with MolaMola
Brittlestars will NOT grow, as a general rule, a new animal from an arm.
This only occurs in some, not all species of seastars.
Historically they (some predatory stars) were chopped up thinking this would kill them. Happened on Chesapeake oyster beds and more recently with the Crown of Thorns star, Acanthaster, in the Indo Pacific. BIG mistake. They simply created new stars.
As a general rule (another general rule) a certain amount of the central disk is required. In brittlestars, 3 arms are needed to properly move. Damage to more than half the animal is often catastrophic (for the animal) and many do not recover.
However, single arms can live quite some time and continue moving.
My prof in school had a "pet arm" of a sea star. An amusing story, sad as well...it would wander the tank, find a tasty bivalve, pass it to the "mouth" only to have it harmlessly fall off the end.
It lived for months, probably "starving" or gaining some energy from digesting internal structures,
I would be very interested in photos if anything more happens, but in all likelihood, the arm will die in time. If you can take a photo series over time it would be interesting.