Just a heads-up: most of us regulars here are not fans of Chomsky. The book "Chomsky on Anarchism" is partly reviewed here:
The salient excerpt:
Chomsky on Anarchism is a book of 241 pages, from which we can subtract six pages of gushing, adulatory Prefaces and Introductions, so it is down to 235 pages. 91 of these pages consist of “Objectivity and Liberal Scholarship” (11-100), which was, in 1969, his debut political essay. It wasn’t necessary to reprint this text, even if it was worth reprinting, because Black & Red in Detroit had already done so. The first part of this text is a bitter, well-documented denunciation of the academic and intellectual supporters of the Vietnam War. (29-40) This is the template for many books which Chomsky went on to write. It has nothing to do with anarchism...
The second part of this text is a critical review of a book about the Spanish Civil War by historian Gabriel Jackson. Chomsky convincingly shows, contrary to Jackson, that there was a Spanish Revolution, not merely a Spanish Civil War. Spanish workers and peasants – many of them anarchists -- initially defeated, in some parts of Spain, the fascist generals, and also collectivized much of industry and agriculture, which they placed under self-management. It is possible – in my opinion, and also in Chomsky’s opinion, probable – that if the Soviet-supported Republican government hadn’t suppressed the social revolution, it might not have lost the war.
However, correcting the history of the anarchist role in the Spanish Civil War is not the same thing as writing about anarchism, much less expounding one’s own “vision” of anarchism. Many historians who are not anarchists have written about, and documented, the anarchist role in the Spanish revolution. They were doing so before Chomsky’s brief, one-time intervention, and they have done so afterwards.