Sort of royal club for US dramatist (9)

I believe the answer is:

isherwood

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'us dramatist' is the definition.
The definition suggests a singular noun which matches the answer.

'sort of royal club' is the wordplay.
'sort of' becomes 'ish' (I've seen this in other clues).
'royal' becomes 'er' (abbreviation for Elizabeth Regina).
'club' becomes 'wood' (wood is a kind of club).
'ish'+'er'+'wood'='ISHERWOOD'

'for' is the link.

Can you help me to learn more?

(Other definitions for isherwood that I've seen before include "Christopher --, novelist (Goodbye to Berlin)" , "Christopher ---, C20 novelist" , "Christopher --, novelist and dramatist" , "Christopher -, English novelist" , "Playwright" .)

I've seen this clue in The Times.

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