Licking/chewing of paws is usually a sign of allergies. What is her age, and when did this start? Did the start of it coincide w/ any food changes? Or, did it coincide w/ the pollen season?
Paws have a big blood supply, so it's important to deal with the cause of this...and to get relief from the symptom. Otherwise, the paws can get infected.
Has she seen the vet for this? For allergies, a Vet Derm can be a lifesaver
!