Author who wrote nonsense for dramatic monarch (4)

I believe the answer is:

lear

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This clue could be a double definition.

'author who wrote nonsense for dramatic' is the first definition.
'lear' can be an answer for 'author' (I've seen this in another clue). I am not sure about the rest of the definition.

'monarch' is the second definition.
(Shakespeare's King Lear)

Can you help me to learn more?

(Other definitions for lear that I've seen before include "hardly the 7 [NO NONSENSE] type!" , "Edward, writer of nonsense verse" , "Tragic Shakespearian king" , "A real playful king" , "See 12" .)

I've seen this clue in The Irish Times.

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