Almost any dog can get separation anxiety. Separation anxiety is a common problem among dogs and can be seen in many dog breeds. Among them, the most common ones are labradors, retrievers, collie, chihuahua, and a german shepherd. As bold as some of them might look, they still face separation anxiety. As a pet owner, it becomes your responsibility to take proper care of your pet friend and ensure that it does not feel left out at any time. If it is too clingy and it seems unnatural to you, consult a vet and find out if there could be an underlying cause for the action.