Improve Jest's console output flow

[d4vidi]

Is your feature request related to a problem? Please describe.
When using Jest as the test runner, console output is hard to make sense of due to these two main issues:

1. Jest suite-level summary logs take precedence over 'plain' output, which makes them and all other logs (e.g. user in-test logging) seem cluttered.
2. Plain logs output is batched, and thus often does not show in real-time as the test is run. This is particularly annoying when running tests on the local computer.
3. Jest does not offer spec-level logging => no way to tell what's running "right now" and which test created what log-outputs.

Describe the solution you'd like
Allow for a configuration scheme that would streamline all logs (user and jest's), and would output them in real time.

Describe alternatives you've considered
N/A

Additional context
N/A