Very little weight carried by announcement (5)

I believe the answer is:

ounce

'very little weight' is the definition.
(a small unit of weight)

'carried by announcement' is the wordplay.
'carried by' indicates a hidden word.
'OUNCE' is hidden in the letters of 'announcement'.

(Other definitions for ounce that I've seen before include "one of several in a pound" , "A light imperial measure of weight" , "Twelfth of a pound" , "Snow-leopard" , "Imperial unit of weight" .)

I've seen this clue in The Times.

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