Hey @user-removed, thanks for posting!
This is the new web player, and Spotify is currently working on it. If you want to see the time you can use the old web player (play.spotify.com) or the desktop app : )
If you feel like this is a good idea, you can post one in the Ideas Exchange board!
Hey back @user-removed,
that's odd. You can try via different browser or in incognito mode and see if this works for you.