The best method to check if LiteSpeed is caching your website would be to use the following: 

https://check.lscache.io/

The above page will show you clearly if your site is being cached by LSCache. 

Another fairly easy way to determine if your website is being cached by LiteSpeed is by reviewing the response headers. This is basically information returned by the server to you after you access a particular page of your site.

 In this tutorial, we are using Google Chrome. To review the Response Headers with Chrome you need to use the Developer Tools 

After you open the Developer Tools, switch to the Network tab and refresh your site (F5). Finally, click on your domain name and review the headers.

If your website is being served from the cache you will see one of the following...

x-litespeed-cache:hit
x-litespeed-cache:miss

The 'hit' or 'miss' specifies if the caches were hit, or missed accordingly.