Among the techniques to address the problem of unit-nonresponse in surveys, short follow-up surveys for nonrespondents have not (yet) been a strong tradition. They are however promising ways to document and possibly correct for non-response bias, so that it should be of interest to put aside a small part of the overall budget to implement them. This contribution relates to a longer series of experiences from non-respondent surveys as follow-ups of long face-to-face general social surveys in Switzerland. It shows the great opportunities offered, but also the challenges that have to be faced when opting for this approach.