Online message taking precious time (5)

I believe the answer is:

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'online message' is the definition.
'tweet' can be an answer for 'message' (type of online message). I am not certain of the 'online' bit.

'precious time' is the wordplay.
'precious' becomes 'twee' (I've seen this before).
'time' becomes 't' (abbreviation).
'twee'+'t'='TWEET'

'taking' is the link.

Can you help me to learn more?

(Other definitions for tweet that I've seen before include "online comment" , "delivered by a chirpy type?" , "Note from flier" , "Short message on a social medium" , "Birdsong" .)

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