Possible Clues:

• Act like an astronomer and dream up fantasies?
• Celebrity playwright's said to watch The Sky At Night
• Observe constellations
• Peer admits opening giant map to daydream
• Wander around Hollywood, maybe
• Look up to Scottish monarch, royal inside, one last European
• Daydream? It’s unknown in a stager’s travels
• Have a daydream and indulge in a fantasy
• Function for astronomer, Trim pioneer and peer
• Act in an absentminded way