Akagami no Shirayukihime letters or font?
Interestingly, the website for Hakusensha's LaLa (the magazine in which Akagami no Shirayuki-hime is serialized) has a nifty little thing where you can enter your date of birth and your name, and it invents a life for you somewhere in the world of Akagami. (For example, I am apparently a "nervous boy awaiting the incipient start of the tournament of arms in Yurikana".)

As a bonus, it also displays your name in Clarines script. I used this to extract the Clarines glyphs. Here they are:




























Turning this into a genuine font is left as an exercise for the reader.

If you're looking for a name for this, there isn't really one; Japanese sites just call it クラリネス文字, meaning "Clarines letters".