The phrase "checking process" refers to the act of examining or verifying something to ensure it is correct, accurate, or in line with certain standards or requirements. Full definition
In our latest infographic you'll find answers to your questions, and some tips for having the employment background check process go well. (proformascreening.com)
Many other companies charge check processing fees or don't allow payment by certain methods — such as debit card or money order. (valuepenguin.com)
I do not recommend including references on a resume because then you do not control the timing of the reference checking process. (job-hunt.org)