Dribble, trickle, filter - operate or circulation slowly and gradually, as in drops or within an unsteady stream; "h2o trickled onto the garden from the damaged hose"; "studies started to dribble in" the usually gradual advancement of something, or how something comes about, or perhaps a strategy for accomplishing anything: https://www.youtube.com/watch?v=5ePQsNfxvzI