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Wiktionary
pull quote

n. A pull-quote.

Wikipedia
Pull quote

A pull quote (also known as a lift-out pull quote) is a key phrase, quotation, or excerpt that has been pulled from an article and used as a graphic element, serving to entice readers into the article or to highlight a key topic. It is typically placed in a larger or distinctive typeface and on the same page. The term is principally used in journalism and publishing.

Placement of a pull quote on a page may be defined in a publication's or website's style guide. Such a typographic device may or may not be aligned with a column on the page. Some designers, for example, choose not to align the quote. In that case, the quotation cuts into two or more columns, as in the example shown. Because the pull quote invites the reader to read about the highlighted material, the pull quote should appear before the text it cites and, generally, fairly close to it.

Pull quotes need not be a verbatim copy of the text being quoted; depending on a publication's house style, pull quotes may be abbreviated for space or paraphrased for clarity, with or without indication.