We found 2 listings:

Copper Beeches B&B
A large country house set in landscaped gardens in a conservation area, offering 4 Diamond rated bed & breakfast accommodation.
01761 241496
The Waldegrave Arms - Chewton Mendip
A family run village pub offering good food, quality real ales and a relaxed & friendly atmosphere. Three bed & breakfast rooms are also available.
01761 241384