Savoy style is another way of describing traditional
Lindy Hop. The name comes from the Savoy Ballroom in Harlem where Lindy Hop was invented.
The actor Dean Collins developed a style of Lindy Hop which is called "Hollywood Style" because it was developed for presentation on film. He added a whip to the dance (which is also seen in West Coast Swing) and it helped the couple physically spend more time on camera as compared to traditional Savoy style.