Try it. I don't have any links that reference the technique I learned, though you want to only have so much oil in your mouth that you can maintain swishing it around (through your teeth, back and forth, etc) for the 15-20 minutes. I wouldn't start with 15-20 minutes either - you won't be able to maintain it, your muscles in your mouth will get tired.
You need to rinse after with a roughly half-water, half-hydrogen peroxide mix - after spitting the oil into your toilet (into sink could cause clogging issues) - and swish it around in your mouth for 10-15 seconds, through your teeth, etc.. This will help whiten your teeth too - most toothpaste companies add a bit of hydrogen peroxide to the toothpaste for this effect.
Spit isn't as dense as oil, and so it won't create as much pressure when being squeezed through your gums - which will loosen out anything stuck in your gums, that floss could otherwise get, and instead of floss jamming in say a piece of meat in further, the swishing and suction that occurs from a 'tight' vacuum in your mouth helps pull the stuck material away.
You don't have to swish for 15-20 minutes either, even a few minutes will do similar - though 15-20 minutes has added benefits, mainly related to the blood flow with your tongue, and the muscles in your mouth / throat, etc.. More so if you use sunflower oil because sunflowers absorb radiation (another thing you'll probably want to look up because you'll say "BULLSHIT!" -- Wikipedia doesn't have anything on it, though a search on Google brings up various results). P.S. If you oil pull with sunflower oil (can't remember if you want refined or unrefined) then after ~3 days you'll start to get a brown spot at the back middle of your tongue - you can gently scrap that off with a spoon. After a week or so that'll likely stop showing.
Anyway, try it yourself - is all I can really suggest..