The official theme for NYT Strands #608 is... "It's not polite to lick your place." And here's an unofficial hint from me: "An extremely satisfying meal". If you're still in the dark, here are some useful words to give you those valuable clue tokens:

Connections first launched on the New York Times in June 2023.

We have them separated into hints first for both "Across" and "Down" words, followed by "Across Answers" and "Down Answers," so be careful if you want to avoid spoilers as you scroll!