Bishop drops drinks next to queen's puzzle (5-6)

I believe the answer is:

brain-teaser

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

'bishop drops drinks next to queen's' is the wordplay.
'bishop' becomes 'B' (chess abbreviation).
'drops' becomes 'rain' (drops of water).
'drinks next' becomes 'teas' (tea is a kind of drink. I am not sure about the 'next' bit.).
'to queen' becomes 'ER' (abbreviation for Elizabeth Regina).
'b'+'rain'+'teas'+'er'='BRAIN-TEASER'

Can you help me to learn more?

(Other definitions for brain-teaser that I've seen before include "Puzzle requiring thought" , "Riddle" , "Difficult puzzle" , "Poser" , "Problem, puzzle" .)

I've seen this clue in The Independent.

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