Thanks for the additional information. It is helpful. There are several reasons why dogs lick their paws and legs. One is allergies which since you have been seeing a dermatologist, I'm assuming hasn't cleared the problem up. Just in case, medications would include prednisone to help reduce inflammation and help with the itchiness. If not on an antihistimine, benadryl might also help with symptoms.. I would expect a shampoo would have been prescribed and possibly an antibiotic in case a staph dermatitis is present. Miconazole cream might help if a staph dermatitis is present.
Another possibility is that a thyroid imbalance is causing the issue. Frequently dogs with a thyroid issue will chew and gnaw the paws and legs. So I would have another thyroid panel done and any medications adjusted if it is needed or at least ask your vet to consider the thyroid as a possible underlying cause of the licking issue.
And there is Acral lick dermatitis or lick granuloma. You can read about this here:
You can read about some treatment methods on this site:
You may also want to try an Elizabethan collar (cone shaped collar) that is designed to keep a dog from licking themselves until you get his legs somewhat cleared up. You can also try soaking the legs in epson salt and warm water, cleaning with hydrogen peroxide and using triple antibiotic ointment or Neosporin to help aid healing as well. If you don't use a collar, baby socks or larger socks on the legs taped at the top may prevent the licking and allow the paws time to heal.
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