Have you checked your server is up to date, the dev server I’m using is still on php5.6 which i cant change so I imagine this is causing a few issues somewhere, it seems only me and you have had this issue and the rest of the world is fine so it’s probably something like this.
I’ve just had the same issue with another theme, There’s a conflict I think with Revolution slider, I disabled the Revolution Slider Plugin and the slide transitions on Layerslider started to work again. Hope this helps