Automation data for audio resides in tracks and not in the Clips List. This means that when you drag an audio clip from the Clips List to a new track, no automation data is placed in the track. However, if you drag an audio clip from an existing track (that contains automation data) to another track, the automation from the source track is placed in the destination track.

You can edit automation data by switching track views or by revealing the automation lanes under the track.