Why is My Theme’s Customization Feature Not Reflecting Changes in Real-Time?

I am encountering an issue with the customization feature of my Catch Themes theme. Despite making several adjustments in the customizer, such as changing colors, fonts, and layout settings, I notice that these changes are not being reflected in real-time on the live preview or the published site. Could this be a problem related to caching, theme compatibility, or something else entirely? I’ve tried clearing my browser cache and even deactivating plugins to rule out conflicts, but the issue persists. How can I resolve this problem to ensure that the customizations I make are visible immediately and accurately? Any insights or solutions would be greatly appreciated!