Being an alienated high schooler made me interested in the idea.
I got involved in 'organizing' and such with the anti-war movement, where I was more or less a social democrat. Being burnt-out by all that early on, and having a lot of time to procrastinate, and therefore watching chomsky videos (as well as talking to anarchists in town) made me a 'libertarian socialist.' (aka leftist anarchist)
Working on projects with leftists (failing infoshops, etc) and being annoyed with their kumbaya attitude towards working with anyone, as well as being genuinely convinced by insurrectionary arguments in zines and such, made me interested in post-left/insurrectionary/conflict-oriented anarchism.
That latest bit has been going on for like 4 years now.