This action has no special significance. The rhythm of neck twisting has a great relationship with the rhythm of music. It's just a national action.
Every minority dance has its own local characteristics, which is handed down from tradition and is a unique and symbolic skill of every nation.
Just as Tibetan dances like to shake their shoulders, this shows the atmosphere and heroism of a nation.
I think, in Uygur dance, "moving the neck" means a kind of spirituality and a kind of pleasure.