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Phrase(s): trickle down (to someone or something)
1. Lit. [for a liquid] to seep or dribble downward to reach someone or something. • The water trickled down the wall to the floor. • It trickled down very slowly. 2. Fig. [for something] to be distributed to someone or something in little bits at a time. • The results of the improved economy trickled down to people at lower-income levels. • Information about what happened finally trickled down to me.
McGrawhill's American Idioms And Phrasal Verbs