Places class is removed from android play services 9.2.0
In 9.0.2, the 'places' library was inside 'location' library. In 9.2, you need to add 'places' library as dependency:
implementation 'com.google.android.gms:play-services-places:9.2.0'
The document is not updated as of 28th June. I suggest downgrading play services library to 9.0.2. (docs last updated on 23th June).
Edited: as Emerson suggested,
compile 'com.google.android.gms:play-services-places:9.2.0'
add that for places library to your Gradle. It's not updated in official documentation.