Puppy Teething Pain -How to Relieve? Just like human babies, puppies feel pain and discomfort when their teeth are erupting. As a result, teething puppies tend to chew and gnaw at everything in order to relieve puppy teething pain and pressure in their gums. Home remedies are safe and are equally effective. Here are some suggestions: Tips – Relieve Puppy Teething Pain Cold Chew treats: One easy way to make a cold chew treat .