Playwright's second terrifying story (8)

I believe the answer is:

schiller

'playwright's' is the definition.
(Friedrich Schiller)

'second terrifying story' is the wordplay.
'second' becomes 's' (common abbreviation).
'terrifying story' becomes 'chiller' (a chiller is a scary story).
's'+'chiller'='SCHILLER'

(Other definitions for schiller that I've seen before include "German author" , "Author of Ode to Joy" , "German dramatist (Maria Stuart, Wallenstein etc.)" , "German poet, dramatist; William Tell, Maria Stuart" , "German dramatist/poet" .)

I've seen this clue in The Guardian.

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