Congrats!
Do you mind if I ask what size tank, and approx amount of LR? How long have you had the beast?
Yes, this form of asexual reproduction is common in this group of seastars - Linckia and relatives. The are commonly photographed in the wild with these asymetrical arms. Perhaps selective harvesting of "symetrical" specimens from the wild for the trade, along with their habit of "melting" when dying, gives people the impression that this is unusual and a bad sign. In this case, for sure, it is not a bad sign
The resulting offspring are called "comets" due to their odd shape. This group is also somewhat unusual in that an arm, or even parts of the arm can regenerate the whole animal....in other stars, at least some part of the central disk is needed to regrow the rest.
Linckia multiflora is one of the "hardiest" of the Linckia stars, though it is a relative statement. None are extremely tough but this one certainly appears to beat out its relatives. It is probably the most commonly reported Linckia reproducing in captivity - and notably in relatively small tanks (smallest I've heard in 29g - albeit one heck of a nice 29g reef).