It's almost ten minutes long. I think it takes a couple of minutes to calm your misgivings, and I would say give it at least that long before you decide if you like it or not. Eliot's voice is... well, not modern. Towards the end the whole things lifts further and becomes marvellous I thought. After the poem ends: 'Till human voices wake us, and we drown...' there are some clips which I don't think were needed; I think it stands on its own.
ETA sorry, in my haste I forgot to link to the person who created the video. Here is the post, and a chance to download it in higher quality, and of course give favourable comments. I'd be interested in your opinion here on whether you think it works as a video.
I want to recommend a second video, which is totally different: Filthy Gorgeous League of Gentlemen. This video tells you everything you need to know about what sex is like in Britain. Unless it's just me. (not of course safe for the sensitive)