Now that’s just gonna bug me all day! I can’t think of a way that “and” is a verb… So I get… [The word] “and” (functioning as a noun) and [another word] “and” (another noun)… but then I need a verb, don’t I?
Sorry, I suppose actually you have to have no breaks between the Ands? In which case you just need several people named And, as in “There once was a family who named both their children And – And and And, and you may imagine the confusion which resulted from this.”
Not an interesting or inventive sentence, but it does the job.
The answer I’ve heard to this riddle is this: The owner of a quaint English pub, the Bull and Thistle, commissioned a painter to make him a sign. After some discussion, he decided he did not want hyphens between BULL and AND and AND and THISTLE.