Hi,
The site error console reports numerous errors, because the jquery script is defered: https://i.imgur.com/NX2kYPN.png
Check your cache minify configuration, and make sure the jQuery is not defered, otherwise scripts may or may not be able to attach themselves to the jquery script.
On the live site the rocket lazy loader somewhat delays the script loading, so it kind of resolves the problem, but on very fast net speeds it would be still visible.