Everything is different in different places.

The Monkey Dress is a metaphor for showing only appearance and acting like a puppet. It is often used to satirize people who take refuge in evil forces and seize power. Same as "monkey bathing and crown".

Killing Chickens to Frighten Monkeys Legend has it that monkeys are afraid of blood, so monkey tamers kill chickens and let out blood to scare the monkeys. It is a metaphor for punishing one person to warn others.

Killing chickens and monkeys is a metaphor for punishing one person to intimidate or warn others. Same as "killing chickens to scare monkeys".

There are no tigers on the mountain, but the monkey is called the king. As the saying goes, there are no capable people, and ordinary people also play the main role.

The metaphor of Earth Dragon and Mu Monkey has a false name but no reality.

The crane in the Xuan is the monkey in the hat. It is a metaphor for a person who abuses his position and shows his appearance.

Kill the chicken to teach the monkey. Kill the chicken to warn the monkey. Metaphorically punishing one severely to warn the others.