Crossword Genius

Count having had unexpectedly included host of party (3,6)

Ross

I believe the answer is:

mad hatter

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'host of party' is the definition.
(I've seen this before)

'count having had unexpectedly' is the wordplay.
'count' becomes 'matter' (synonyms).
'having' indicates putting letters inside.
'unexpectedly' is an anagram indicator.
'had' anagrammed gives 'adh'.
'matter' placed around 'adh' is 'MAD HATTER'.

'included' acts as a link.
I am not very happy about this link. It may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for mad hatter that I've seen before include "Eccentric" , "Tea drinker" , "attending a literary tea party" , "Carroll character" , "one forever taking tea" .)

I've seen this clue in The Times.
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