One of the greatest lessons I learned in leading this work inside organizations for 25 years is this: check my ego at the door.
Astute CCOs understand that this unique power they possess cannot be abused; in fact, it must be given away. With a strong CEO and CCO partnership, people are going to want to jump on this bandwagon, and one of the greatest tools a CCO has to continue motivating participation is having people present their own actions, and putting them front and center to take the credit.
The greatest measure of success for the CCO is when the work is adopted by people as their own, when the prodding starts to taper off, and when it becomes a part of the DNA of the organization. That will never happen if the CCO is a credit hog.