In Our Time, and repeated at a later time
The morning broadcast is actually live, and so it often has the features that Verity describes, with lurches of logic and certain academics trying to hog the microphone. I listen to these on morning drives, and then often hear the evening repeat. The latter has had the benefit of attention from the editing suite, and often there are entire segments that have been shifted so that things make more sense, and fluffs have been taken out. I guess the polished versions are the ones that make it onto iPlayer and the podcast platforms.