Chromothripsis is a form of genomic instability that was shown to play a major role in cancer. Beyond cancer, this type of catastrophic event is also involved in germline structural variation, genome mosaicism in somatic tissues, infertility, mental retardation, congenital malformations and reproductive development in plants. Several assays have been developed to model chromothripsis in vitro and to dissect the mechanistic basis of this phenomenon. Cell‐based model systems are designed with different strategies, such as the formation of nuclear structures called micronuclei, telomere fusions or the induction of exogenous DNA double‐strand breaks. Here, we review a range of model systems for chromothripsis and the mechanistic insights gained from these assays, with a particular focus on chromothripsis in cancer.