As of May 2023, CSS container queries are not yet widely supported by most browsers. However, you can experiment with them by using a polyfill such as cq-prolyfill or css-container-queries.

To use CSS container queries with Tailwind, you would first need to install the polyfill of your choice. Then, you can use the @container at-rule in your CSS to create container-specific styles. Here's an example:

@container (min-width: 640px) {
  .my-container {
    padding: 4rem;
  }
}

This will apply the padding: 4rem style to any element with the class my-container when it is inside a container that is at least 640 pixels wide.

Note that the @container at-rule is currently not supported by most browsers and is only available with the use of a polyfill. As browser support improves, this feature may become more widely available without the need for a polyfill.