Crossword Genius

Show disapproval of a bishop in lift at hotel (8)

Ross

I believe the answer is:

harrumph

I'm a little stuck... Click here to teach me more about this clue!

'show disapproval' is the definition.
(I've seen this before)

'a bishop in lift at hotel' is the wordplay.
'bishop' becomes 'rr' (abbreviation for Right Reverend).
'in lift' becomes 'umph' (I am not sure about this - if you are sure you should believe this answer much more).
'at' is a charade indicator (letters next to each other) (I've seen this in other clues).
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'a'+'rr'+'umph'='arrumph'
'arrumph' after 'h' is 'HARRUMPH'.

'of' acts as a link.

Can you help me to learn more?

(Other definitions for harrumph that I've seen before include "Sound of someone clearing throat" , "Noise of throat clearing" , "Clearing of the throat - expression of dissatisfaction" , "Make disapproving sound" , "Express grumpy opposition" .)

I've seen this clue in The Times.
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