Might be a good april fool prank, but reasonable enough.
Cameras with excessive IR sensitivity can be used (with an IR projector) to look "through" certain dark nylons and cottons. This was especially noticeable on Sony's first night-vision capable cameras; a recall was issued and a fix made which reduced the IR sensitivity but it was a boon for teenaged boys everywhere.
Most camera sensors come with IR-cut filters. Some lacked this filter, or were fitted with a filter which let enough light through. Many webcams made by Logitech often have a filter which can be removed with a little work (and they're cheap enough that it won't hurt your bank balance too much if you mess up). Most often these are used for IR photography, but as I say (and as the video suggests) lighting something up in IR light and with certain materials (usually black or dark materials with some nylon content) you can see "through" the material.
Not sure about the clingfilm, though I do know that certain polymers do have various IR properties as well - seriously important consideration when making military equipment as you want as low an IR signature as possible generally!