The page caches provided by the drupal core or by different reverse proxies or by browsers themselves are not suitable for pages like entity edit forms. In case you expect the user to load a form in the next step of her work flow, you might consider a kind of proprietary browser driven link prefetching mechanism of that page. Especially if it takes a long time to load because it requires complex database queries or fetches data from external resources.
CacheWarmer Connect is a module to integrate your site with the cache-warmer.com service. After enabling the module a cache clear will trigger cache-warmer.com to immediately warm your Drupal site’s cache.