That logs the logs in an SQL database, you can search with Quassel-Suche (a web-based search engine for quassel backends), and we have clients for Windows, Mac, Linux, iOS (kinda) and Android (with a better Android client in beta) and a webclient.

You get contiguous logs like in Slack, Push Notifications (with the Android beta, soon), and you can search through your logs.

In fact, I don’t bookmark things in my browser anymore – I send them in a query to myself, and just use quassel-suche half a year later to find them, or, if there hasn’t been much activity in the channel, just scroll up (infinite scroll to load more logs).