IMO, this star would be a poor choice. Reef safe stars require pristine water conditions (such as found in a mature reef tank, over 6 months old, specific gravity 1.025-1.206, low nitrates, etc). They can not be spot fed and require, in the case of a blue Linckia, at least 100lbs of LR to graze on, minimum. Other Linckia such as an orange or burgandy might be OK with less rock - but it is not guaranteed.
In addition, puffers, large wrasses and triggers are predators of seastars. Large angels may also take interest in the star.
I would be somewhat more comfortable with a non reef star such as a chocolate chip, red African, or general...as they are a bit hardier and can be easily fed. Water quality still has to be quite good nonetheless, and there is still a risk with the wrasses and other fish you might try to put in.
All in all, though, I would not do it...my primary concern would be water quality and feeding. If you do try, be sure to read up on acclimation of these stars as they have very special needs, and get any water quality issues settled will in advance. Also, I do not recommend more than one except in very large systems.
People might say they have done this with less LR...but be sure that it has worked over a year, as seastars like Blue Linckia take 9-12 months to starve.