I am not receiving any push notifications, nor have I ever from the Spotify app. I'm a Spotify premium account holder, in the US, on an iPhone 5 with the app installed.
I've checked Settings/ Notifications/ Push Notifications/ all toggled "On", but nothing happens. Under Appearance, I've changed from Banner display to Alert, to no avail. Also, I checked my phone's Privacy settings, but Spotify doesn't seem to have any presence there (like Location Services, Contacts, Calendar, etc)
I have multiple collaborative playlists and would love to be notified when a playlist has been modified and from what shared user.