2677: What’s in a name?

Unchecked and mutually cross-checking letters in 14 unclued lights spell out PEEP – THE SPECTATOR CHARACTERS RECREATE REST. One such light is hyphened and another comprises two words.

Across

1               Bundle of stuff needing time (7)

5               Dubious party assumes American power (7)

9               Church, with Old English exterior, from which arrows are launched (4)

13            Impressive collection of maths and physics constants (4)

14            Long-lost beast is such, or a fake (7)

16            Letters delivered for Badger (5)

17            Cold bottle of milk overturned – it’s irresistible to kitty (6)

20            Mediterranean restaurant worker sent back outside state (7)

21            Least cautious female interrupts returning emperor (7)

25            Fight animals from...