Possible Clues:

• So trees get a hat: all for show
• Organises the rates for the players
• Dramatic scenes as tether broken
• For surgeries and dramas
• Playhouses
• The rate's high for popular buildings in the West End?
• Buildings for entertainment
• Hear test broadcast in places where many a player takes part
• Unstable ash tree behind square providing work for type of surgeons
• Play structures near Hyde Park?