Second thoughts though:
I answered your question with regard to your suggestion that the 'education' exemption within copyright legislation might help you. As far as that is concerned, my answer still stands: it doesn't.
However, depending upon exactly how you intend to use the short clips that you refer to, the 'criticism or review' section of the legislation might come into play. See 'Criticism, review, quotation and news reporting' on page 49 of my link above.