Great elm snaps wire (8)

I believe the answer is:

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'wire' is the definition.
(I know that wire can be written as telegram)

'great elm snaps' is the wordplay.
'great elm' anagrams to 'TELEGRAM'.
However, I am not sure how this is indicated.

Can you help me to learn more?

(Other definitions for telegram that I've seen before include "Message once sent by radio or electrical signals" , "Message transmitted by wire" , "cable" , "Electric message" , "Pre-1980s electronic message" .)

I've seen this clue in The Sun.

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