I would like to help you with your question, but if you could give me some more information to go on, I am much more likely to be helpful:
What kind of animal are we talking about? Breed?
When did the licking start?
When does it happen most?
I hope to help,
Thank you for the quick feedback!
More often than not, licking of the paws like this is triggered by allergies and therefore itching in dogs.
Here is a link to an article on itching and allergies in dogs:
The other concerns are whether something is stuck in the paw, or if there is a growth of some sort on the paw.
I hope this helps!
As always, if you have further questions or concerns, please don't hesitate to ask them using the "reply" function.
I hope that all goes well,