A synonym for proverb.
The study of proverbs is called paremiology which has a variety of uses in the study of such topics as philosophy, linguistics, and folklore.
But not moving to that, I would list down a few watchwords here that I never read until today and might be useful to you too, to make bon mot (good word / witty remark .in french) :
A bird in the hand is worth two in the bush
=> Having something, even if it is a lesser quantity, is better than taking the chance of losing it in order to attain something else that seems more desirable.
A chain is only as strong as its weakest link
=> An organization (especially a process or a business) is only as strong or powerful as its weakest person. A group of associates is only as strong as its laziest member.
A drowning man will clutch at a straw
=> When hope of success is fading, people will try anything, no matter how unlikely it is that it will provide a solution.
A fish always rots from the head down
=> All problems in a company or country can be traced back to its leadership.
Absolute power corrupts absolutely
=> An observation that a person's sense of morality lessens as his or her power increases.
An army marches on its stomach
=> A group of soldiers or workers can only fight or function effectively if they have been well fed.
Better to have loved and lost than never to have loved at all
=> Love is such an important experience that even the pain of losing someone you love is better than not having loved that person in first place.
Don't cross the bridge till you come to it
=> Not to worry about a particular problem until it actually appears.
Don't throw the baby out with the bathwater
=> Not to lose something important while trying to get rid of unwanted things.
Forewarned is forearmed
=> Knowledge in advance enables one to be prepared.
Have a nice day!