a short, pithy, commonly known expression which generally offers advice or wisdom.
(sayings) a collection of short, pithy expressions identified with a particular person, especially a political or religious leader: this is stated in the sayings of the Prophet
Phrases
as (or so) the saying goes (or is)
used to introduce or follow an expression, drawing attention to its status as a saying rather than part of one’s normal language: I am, as the saying goes, burnt out