The Othar-rescuing clank spoke, but that may also have been a UI thing -- it never exactly answered anybody that I remember.
(Around half serious here.) The fashion clank clearly belongs to the fictional-in-story continuity of the radio plays. Recent developments may confirm that there is no historical (in-story) period when it could have taken place: Agatha is adventuring openly under the name Agatha Heterodyne, so it cannot take place before the present in the webcomic; however, she meets people whose idea of how she can help is to get a message to Baron Wulfenbach, so it can hardly take place after the fall of the Empire, as neither Klaus or Gil is thereafter likely to be the go-to person for getting rid of cannibals with giant rabbits.