White Walker
With the release of the official script for Episode 7 we see that he is indeed a White Walker Flyer.
A massive chunk of the Wall breaks free ahead of Tormund. The ice dragon glides away, and we get our first clear look at him, and at the Night King on his back. He's done the same thing to Viserion that he did to Craster's sons. Only those were babies, and this is a dragon.
Game of Thrones, Season 7 Episode 7, "The Dragon and the Wolf" - Official script
Although we don't know for sure I'd say it is a White Walker.
A White Walker is created by the Night King placing his hand on the subject, like with Craster's baby boys:
—Craster's newborn baby being transformed into a White Walker by having the Night King touch him, "Oathkeeper" (Game of Thrones, S04E04)
Also compare the eyes of the White Walkers and the wights:
—A wight which I believe is from Hardhome, "Hardhome" (Game of Thrones, S05E08)
As you can see a wights eyes are a lot cloudier than the sharp clue of a White Walkers.
Now compare those of Viserion's:
—Viserion opens his eyes after the Nights King touches him, "Beyond the Wall" (Game of Thrones, S07E06)
As you can see his eyes more closely resemble a White Walker than a wight.