"Should students about to read The Great Gatsby be forewarned about 'a variety of scenes that reference gory, abusive and misogynistic violence,' as one Rutgers student proposed? Would any book that addresses racism — like The Adventures of Huckleberry Finn or Things Fall Apart — have to be preceded by a note of caution? Do sexual images from Greek mythology need to come with a viewer-beware label? ... The most vociferous criticism has focused on trigger warnings for materials that have an established place on syllabuses across the country. Among the suggestions for books that would benefit from trigger warnings are Shakespeare’s The Merchant of Venice (contains anti-Semitism) and Virginia Woolf’s Mrs. Dalloway (addresses suicide)."
Until someone produces stats suggesting the problem affects enough people to justify a blanket policy, I vote "no." The analyst in me wants to see some numbers; a handful of anecdotes doesn't make for a very compelling case.