I recently released my first track on Spotify, but the plays don't show up. I know over 100 people listened to it. Even when I play it myself from my phone it doesn't show up on Spotify for Artists. My trackname is Dark Winter by Prody Fox.
The stats do not update in real-time. So if you don't see a change, come back later to see if the amount has changed. Keep in mind as well that your track needs over 1000 plays before it displays the amount of plays.
Check out this page if you have further questions as an artist.
Hope this helps. Let us know if you have further questions.