I don't think there is a dancing couple who hasn't argued spectacularly. What the papers call it though, is a "falling out", which is absolute rubbish.
The lid got lifted a bit during a behind the scenes documentary woth Torville and Dean. Everyone thought they were perfectly in love and all was sweetness and light with them two. They were shocked when training footage showed them arguing (Chris made Jayne cry too). All partnerships are like that. when you get two creative people who are passionate about what they do, it is inevitable that sometimes ideas differ and sparks will fly.
In my opinion the papers need to get a grip.