In Chrome, there is the option in Console Settings (Either press F1 or select Developer Tools -> Console -> Settings [upper-right corner] ) named “Show timestamps” which is exactly what I needed.
I’ve just found it. No other dirty hacks needed that destroys placeholders and erases place in the code where the messages was logged from.
Update for Chrome 68+
The “Show timestamps” setting has been moved to the Preferences pane of the “DevTools settings”, found in the upper-right corner of the DevTools drawer:
