Transcription initiates pervasively in all organisms, which challenges the notion that the information to be expressed is selected mainly based on mechanisms defining where and when transcription is started. Together with post-transcriptional events, termination of transcription is essential for sorting out the functional RNAs from a plethora of transcriptional products that seemingly have no use in the cell. But terminating transcription is not that easy, given the high robustness of the elongation process. We review here many of the strategies that prokaryotic and eukaryotic cells have adopted to dismantle the elongation complex in a timely and efficient manner. We highlight similarities and diversity, underlying the existence of common principles in a diverse set of functionally convergent solutions.