Was there a Medical School at Salerno in Roman Times?

It is sometimes assumed in the Italian historiography that the medieval school of medicine at Salerno continued the medical tradition of ancient Salerno; the ancient Salernitan school, in its turn, would represent a continuation of that of Velia. The existence of such a school has been assumed on the grounds of rather sparse evidence consisting of a passage in the first book of Horace's Epistles and a Latin inscription from the first century AD mentioning a medicus clinicus.