At the Dog's Tongue...

... let it all hang out.

ADDED: Noticed much later that I'd left out the word "Café" in the post title, and now that I think about it, The Dog's Tongue does sound like a restaurant name. Here's an item in L.A. Weekly about the current restaurant name trend based on animals. There are many that don't have a "Café"-type editng. So for every BrewDog Pub, there's a The Fat Dog. For every Black Cat Bakery & Cafe, there's a The Black Cat...

The Thirsty Crow...Wolf & Crane...Wolf in Sheep's Clothing...The Fox and the Goat...The Raven and the Swan... The One-Eyed Doe, The Fat Cow...  Black Hogg... Pigg...  Flying Pig... The Blind Donkey...

But I have to concede that this trend doesn't include examples where the name is a part of the animal, like The Dog's Tongue. There's no Crow's Beak or Wolf's Tail or Goat's Head (try the soup!).