The idiom is actually faire avancer le schmilblick ("to make the schmilblick move/get ahead", literally) and was used a lot in the TV quiz show where it meant asking another pertinent question that might make it easier to guess the object.
In the context of a TV quiz show, the phrase "faire avancer le schmilblick" is used as a strategy to help contestants guess an object more easily by prompting them with a follow-up question.