The idea of obtaining innate immunity to snakebites did not end in the classical era. There is a video on youtube from an Australian science program about aman in Wisconsin that has built up an
immunity to the bite of the black mamba, one of the nastier venomous snakes. The doctor on the program explains that repeatedly injecting small amounts of the venon over a period of time build up enough antibodies over time that he build up such a reserve he has attained innate immunity to the bite.