Problem:

The changes I make on Customize Panel can be saved but I'm not able to see them on my live website. (e.g. I changed the header layout in Customize and it remained the same on frontend.)

Solution:

If you're not seeing any errors in your Customize and you can save the changes but they're not visible on your website than you might consider the following:

• Make sure you've cleared the cache from both your caching plugin and browser;
• Deactivate all the 3rd party plugins and check if the issue is caused by one you those plugins.

More resources:

• I make changes and nothing happens on WordPress.org