Crossword Genius

Orderly trolleyed fifteen boxes around institute (9)

Ross

I believe the answer is:

efficient

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

'orderly' is the definition.
Both the answer and definition are adjectives. Perhaps they are linked in a way I don't understand?

'trolleyed fifteen boxes around institute' is the wordplay.
I cannot quite see how this works, but
'around' could be 'c' (abbreviation for 'circa') and 'c' is found within the answer.
'institute' could be 'i' (common abbreviation as in MIT) and 'i' is found within the answer.
an anagram of 'fifteen' is 'effient' which is located in the remaining letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for efficient that I've seen before include "Working well with little waste" , "Working in a well-organised and competent way" , "working economically at speed" , "Businesslike" , "Effective in doing what is required" .)

I've seen this clue in The Independent.
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