Message in TV broadcast having little weight (8)

I believe the answer is:

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'message' is the definition.
(telegram is a kind of message)

'tv broadcast having little weight' is the wordplay.
'tv broadcast' becomes 'tele' (I am not sure about this - if you are sure you should believe this answer much more).
'having' says to put letters next to each other.
'little weight' becomes 'gram'.
'tele'+'gram'='TELEGRAM'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for telegram that I've seen before include "(Old) type of message" , "Dispatch" , "Message transmitted by wire" , "Pre-1980s electronic message" , "Message sent by wire" .)

I've seen this clue in The Times.

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