Live Composer Not Activating On The Home Page

Check following debugging steps:

1. Disable all the third-party plugins and check again. This way you can see if exist a plugin conflict. The problem remains when are enabled just the shipped plugins?
2. Go to WP Admin > Settings > Reading and set the front page with "About" page, for instance. Is the Live Composer activating on the new home page? 
3. On the browser code inspector, is any server or Javascript error?
4. Do you run the same issue with a default WordPress theme?

If the answers are:

1. Yes
2. No
3. Yes
4. Yes

Then, probably there is a server restriction. Here are few suggestions:

• Contact the hosting provider and ask them to whitelist the domain name in the mod_security settings.
• Check in your cpanel if exist a security module.
• Check in your cpanel if there are notices about some script conflicts.