When dogs lick their paws rather regularly, it's usually bc of an allergy bc the histamine response causes a reaction in their paws - making them feel VERY irritated - so they chew/lick their paws to try to get relief. It's very uncomfortable for them.
Most allergies are environmental (pollens, dust etc) and are not food (only about 10% of the time.
Read more about what to do about allergies here:
http://www.yorkietalk.com/forums/die...tart-here.html
And read more about what else can cause paw licking here:
http://www.yorkietalk.com/forums/die...-diseases.html