The brand name "Chix O' Cluck" is a clever and catchy name for a restaurant that offers chicken dishes. The name is derived from the phrase "O' Clock" which represents the time, and in this case, it has been modified to "O' Cluck" because chickens cluck instead of the ticking sound of a clock. The term "Chix" is a shorthand term for chicken, and it replaces the traditional numbers on a clock face.

 

The symbolism of the logo is that it combines the image of a chicken with the number of a clock. The chicken represents the main product of the restaurant, while the numbers represent time, which is a core element in the food industry.