Crossword Genius

Difficult task of monks who need a high ceiling? (4,5)

Ross

I believe the answer is:

tall order

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

'difficult task of monks who need' is the definition.
'tall order' can be an answer for 'difficult task' (I've seen this before). I'm not certain of the rest of the definition.

'a high ceiling?' is the wordplay.
'a high' becomes 'tall' (I've seen this before).
'ceiling?' becomes 'order' (I am not sure about this - if you are sure you should believe this answer much more).
'tall'+'order'='TALL ORDER'

Can you help me to learn more?

(Other definitions for tall order that I've seen before include "hard to fulfil?" , "Lot to ask" , "not easily satisfied" , "Demand to tax" , "Difficult demand" .)

I've seen this clue in The Independent.
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