Link rage with Shakespearean monarch (8)

I believe the answer is:

kinglear

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'shakespearean monarch' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'link rage' is the wordplay.
'link rage' can be anagrammed to 'KINGLEAR'.
Though, I am not sure how the anagram is indicated.

'with' is the link.

Can you help me to learn more?

I've seen this clue in The Irish Independent.

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