Official seat left after court fire (8)

I believe the answer is:

woolsack

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'official seat' is the definition.
'woolsack' can be an answer for 'seat' (I've seen this before). I am not certain of the 'official' bit.

'left after court fire' is the wordplay.
'left' becomes 'l' (common abbreviation).
'after' says to put letters next to each other.
'court' becomes 'woo' (synonyms).
'fire' becomes 'sack' (dismiss someone from their job).
'l' after 'woo' is 'wool'.
'wool'+'sack'='WOOLSACK'

Can you help me to learn more?

(Other definitions for woolsack that I've seen before include "Seat of the Lord Chancellor in House of Lords" , "The Lord Speaker's seat in the House of Lords" , "Lord Chancellor's seat" , "Where the Lord Chancellor sits" .)

I've seen this clue in The Telegraph.

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