I haven't, but I have heard A LOT about it. The American news landscape is full of Ayn Rind (spelling to come).
I don't know all that much about this ideology directly, but indirectly I have some impressions, and apparantly it preaches about "The Virtue of Selfishness" and the evils of a "Culture of Dependancy" among the needy.
I just want to say I recognize many similarities with Confucianism. Wikipedia calls it a "ethical-sociopolitical teaching" in it's original form, although it is often considered a religion these days. The Confusian inverse Golden Rule ("Do NOT do unto others what you would NOT have done uno you) seems a close analog to Ayn Rind's socio-economic ideology.
I've gotta say, the title is amazing, a full of subtle meaning, but I also must say it's extremely confusing to me. I seems to me the idea of the mythical figure of Atlas shrugging (abadoning his responsibilty of holding the earth on his shoulders) says chaos comes from "shrugging" which is quite at odds with what I am given to undertand this is all about.