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Are there any fixes for this yet? Spotify worked fine on my iphone but I have just upgraded to s6 edge and spotify doesn't work on wifi through my phone. It still works through the app on my macbook pro using the same router. I can only last a few days without music on my phone so if this isn't fixed soon I'll probably check out google play.
The last version on Google Play Store (126.96.36.1993) did not fix the problem for me.
Despite many tries spotify support were not able to find the root cause and propose solution.
So finally I took the risk and I've installed old version of the app (188.8.131.529) out of Google Play Store.
It works without any issues or problems on WiFi and I am going to keep using it.
For me Spotify 2.8 works too: http://www.apkmirror.com/apk/spotify-ltd/spotify/spotify-2-8-0-1081-android-apk-download/
Solution found here: https://community.spotify.com/t5/Help-Android/WiFi-problem/m-p/1149415#M44651