trickle through
(something) 1. Lit. [for a liquid] to seep through something. The water trickled through the cracked windowpane. They taped the glass, but the water trickled through anyway.
2. Fig. [for someone or something] to move through something little by little. The people trickled through the door into the store in far smaller numbers than we had expected. They trickled through very slowly.