Yes, common.Seriously though:would it work as a common magic item?
We've been having fun with it, but I think the hair-grower would rate as another of Xanathar's 'minor magical effects', like the cape that billows dramatically without needing a breeze.Seriously though:would it work as a common magic item?

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.