Fashion is cyclic and corsets are not likely to ever vanish. And after a brief absence it has reappeared in our day. It's most recent appearance was during the New Look era (late 40's and 50's) when heavy girdles, waspies and classic laced corsets were worn by fashionable women. Structured girdles and corseletes were common and thus the modern corset less period is limited to only a few decades.
Although the corseting of the 50's focussed primarily on the cinching of the waist, it was clear that a good bustline required conventional corseting from bust to hip as shown by the classic movie stars.