Can be thought of as another form of oversharing. Often paired with getting a touch carried away by one's argument. The noun form is sialoquence, not to be confused with eloquence. Coined from Greek sialon, saliva + Latin loquens, speaking, present participle of eloqui, to speak out, from e-, a form of ex-, out + loqui, to say.
After his third bark, the St. Bernard got quite sailoquent in his objections to my presence.