* Palindrome: A word or phrase that reads the same backward as forward (e.g., racecar, madam).
* Chicks: A slang term for young women or female chickens.
* Noise: A sound.
It's possible someone is making a humorous reference to a chick's "noise," perhaps a chirping sound, and making a joke about it being a palindrome.
Without more context, it's hard to be sure what the intended meaning is.