antimetabole

Oh my goodness, I've learned a new word that I can't believe I hadn't run across before in my work. Maybe I had, and forgot it. But anyhow:

“We lead not by the example of our power, but by the power of our example.” That was Joe Biden (quoting Bill Clinton) at the Democratic National Convention, using perhaps a politician’s favorite rhetorical device: antimetabole. Great word, huh? It’s from the Greek, like so many literary terms of art, in this case a Greek word meaning “turning about.”

 This is from Lucy Ferris's blog post on the topic. Very useful!