I would guess that's it's something like mille crepe.
http://www.enomoto-cake.com/4mille_crepe.htm has the clearest picture I
could find. It's basically crepes layered with some kind of
filling--the one I made was cream with cream cheese alternating with
blueberry jam. You can have as many layers as you want, or as you have
the patience to make.

This kind of dessert is very popular in Japan right now, and I read a
couple of years ago in the NYT that it can be had for quite a lot of
money in New York--something like $50+ for a whole one.