There is actually a term for this - ‘chiasmus’, which is “a reversal in the order of words in two otherwise parallel phrases”. For example, the line attributed to Mae West, “it’s not the men in my life, it’s the life in my men”.
The first thing that came to mind was a local restaurant that sells t-shirts with amusing phrases on the back. There is one which reads “It is our business to do pleasure with you”.
I was in New Orleans during the Urban Cowboy craze. In the window of a mechanical bull bar, there was a bumper sticker; If you ain’t a cowboy, you ain’t shit. I was severely amused. The proof is in the converse, of course. If you are a cowboy… :dubious:
Not quite in the spirit of the OP, but there was a strawberry field on the edge of my village in England that had two signs outside it. At a certain angle as you drove towards it, they said: Pick your own
Children!