Davis Graeber talks about this in Fragments of an Anarchist Anthropology.
At the very least, one would imagine being an openly anarchist professor would mean challenging the way universities are run—and I don’t mean by demanding an anarchist studies department, either—and that, of course, is going to get one in far more trouble than anything one could ever write.
Graber was on track to become a tenured professor at Stanford University. But they fired him. The school made the typical politically neutered statement, but his peers said it was because he refused to fire his grad students who were forming a union, as well as his insistance on writing academic text in an accessible way. And his is not an uncommon story when you begin reading anarchist theory.
And I think this is because Marxism is not a moral framework, and it never really was. And as we see with Chomsky, anarchism is not immune to this problem, but it's less likely to become an issue because there is no position of authority for these people to occupy.