It's a line from "Hamlet" (perhaps based on a proverb) and your question gets it close, but not exactly right. It's "The cat will mew and dog will have his day." It's a line of blank verse, so it's ten-syllables long. "Me-ow" and "the dog" would wreck the meter.
If you add the line before it, it makes more sense:
Let Hercules himself do what he may,
This is probably not the answer you want, but it's the truth for me: a play is relevant if you enjoy it or it gives you some sort of interesting/challenging experience. If not, it isn't relevant.
To me, the fact that a play may reference some topic that's similar to a currently in-the-news event--or some contemporary issue--has nothing to do with it's rel...(more)
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In this post I aim to provide a careful metrical analysis of Shakespeare’s opening sonnet, and hope to illustrate how an understanding of meter can enhance our appreciation of his work.