The phrase "little checking" means that there is not much investigation or verification being done to make sure something is true or correct. Full definition
All schools of all denomination must be accountable; there is very little check on these schools. (schoolsweek.co.uk)
Just a quick little check in to let us know that she knows we totally feel her on this breakup thing and that she hearts us for it. (redbookmag.com)
This is a simple little check list to help you take notes and remember anything you have any questions about during your home purchase. (bentleyhomeinspection.com)