Diarist Jones spilling tea, sounding cross (6)

I believe the answer is:

bridge

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'cross' is the definition.
(I know that bridge is a more specific form of the action cross)

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for bridge that I've seen before include "going across river?" , "Hard ridge on the nose" , "played by a quartet" , "Card game - pontoon - couple" , "link" .)

I've seen this clue in The Guardian.

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