Chiasmus, the Reversal Figure of Speech
No, it's not Godzilla's next major foe.
Chiasmus is where the second part of a sentence mirrors the first part, but in reverse. The one I like to use to remind myself to keep things humble is:
Take pride, but don't let pride take you.
But there is a more famous one most US Americans are familiar with...
Ask not what your country can do for you, ask what you can do for your country.
— John F. Kennedy, Jr.
Chiasmus is a useful way to provide emphasis to your point. By providing your audience with this mirroring of concepts, you activate their deeper cognitive processes; yet, it is a figure of speech not so unfamiliar or esoteric to the human brain that your audience won't be able to easily unwind it. Done well, it's a clever mechanism for engaging your audience, plus it adds a poetic flair to your speech.
Speaking of poetic, from the Google definition of chiasmus:
Poetry is the record of the best and happiest moments of the happiest and best minds.