Thanks for your contact and welcome to the Toolset support forum!
You can clear the cache using a plugin for this (for example, W3 Cache), or you can also ask the hosting provider to clear any cache at the server side. Moreover, if still not solved, you can try to set the registration through PHP. For this, you need to add the following constant to your site’s wp-config.php file:
The your-site-key is the registration key that is generated for the site on your Account page.
If the problem remains, please check the communication error log in the link at the bottom of the message and share it here using a service such as pastebin. Furthermore, I suspect that the issue is probably at the server level, maybe you have a firewall that prevents the site from reaching our website toolset.com. You will need to check that with your hosting provider.
Also, there is an automatic installer program included in Toolset Types, and sometimes the files used by the installer get cached incorrectly. To delete that cache, please go to wp-admin/update-core.php and click "Check Again". This will trigger an update of the Types installer cache files. Then go to wp-admin > Plugins > Add New and click the Commercial tab. You should see the automatic Types installer system appear. At last, please be sure that your Toolset Types plugin is up-to-date.
Give these suggestions a try and kindly let us know how they go. Thank you!