Neo4j Browser has added functionality to debug the connection to your database.

Use :debug connectivity neo4j+s://<DBID>.databases.neo4j.io

This is a first-level diagnostic tool that allows you to check whether Browser is able to communicate with your database instance. This doesn't test whether you can run queries or any other functionality. It just checks for whether a Bolt handshake is successful. 

In the screenshot below, you see that the connection to the database was successful. You'll note that while the encrypted Bolt handshake was successful, the unencrypted one failed. This is as designed. Since HTTPS is available, the client should not be using HTTP to connect.

In the example below, the database instance is paused:

You'll note that both Bolt (unencrypted) and Encrypted Bolt fail because there is no listener. 

 

If you are using Browser from Neo4j Desktop then you'll see a warning about the client using HTTP. This warning can safely be ignored because the Desktop client doesn't use HTTP to connect anf sticks with HTTPS.