The musician famously known for the quote, "The times they are a-changin'" is Bob Dylan. This song, released in 1964, became an anthem for the social change movement during the 1960s. Dylan's poignant lyrics reflect the cultural and political upheaval of the era, resonating with those advocating for civil rights, anti-war sentiments, and other progressive reforms. His contribution to music and activism solidifies his position as a significant figure in American history.