Let's consider a system where each user is linked to one or more roles and each role is linked to one or more access privileges. This information can be cached for better API performance. But then, there may be changes in the user and role configurations (for e.g. new access may be granted or current access may be revoked) and these should be reflected in the cache.
We can use access and refresh tokens for such purpose. When an API is invoked with access token, the resource server checks the cache for access rights. IF there is any new access grants, it is not reflected immediately. Once the access token expires (say in 30 minutes) and the client uses the refresh token to generate a new access token, the cache can be updated with the updated user access right information from the DB.
In other words, we can move the expensive operations from every API call using access tokens to the event of access token generation using refresh token.