Grabbing grass under golf trolley's bottom (6)

I believe the answer is:

greedy

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'grabbing grass under golf trolley's bottom' is the definition.
I can't tell whether this definition defines the answer.

'grass under golf trolley's bottom' is the wordplay.
'grass' becomes 'reed' (I've seen this before).
'under' is a charade indicator (letters next to each other).
'golf' becomes 'g' (phonetic alphabet: alpha, bravo, charlie etc.).
'bottom' says to take the final letters.
The last letter of 'trolley' is 'y'.
'reed' put after 'g' is 'greed'.
'greed'+'y'='GREEDY'

Can you help me to learn more?

(Other definitions for greedy that I've seen before include "Very eager to get" , "Wanting too much" , "Covetous, avaricious" , "Keen" , "Overeating" .)

I've seen this clue in The Telegraph.

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