Possible Clues:

• Such creatures would never need 8 down
• Eastern gallery welcomes study lacking teeth
• A detente arranged, of the type that lacks teeth
• Sort of mammal seen in garden art gallery
• Tate had need of a tooth, not having any
• Does one need to get a teat if one has not got a tooth?
• Source of termites in garden consumed by anteater for one
• The order for Adam and Eve to bid farewell to the Garden?
• PM accompanies man selling sugar, without teeth
• Depression was troubling after beginning to eradicate sloth, say