"A new magazine"
As an American, cylchgrawn is an insane word! I'm having a hard time remembering that one...
Try splitting it into two words:-
cylch = a circle - so think of a circular - something that is distributed for people to read
grawn = cereal or grain - which is needed to make paper
so a magazine is 'a circular made of grain(paper)'
There's "magasîn" in GPC for you. Accompanied by this quote, no less: "Magazin: an abominable word … ought by no means to be admitted" (Richard Morris).