Once you have created your river and set up the channels where to get drops from, your river should start populating almost instantaneously i.e. after a few seconds. This however only applies to our hosted service - https://swiftapp.com
For self-hosted deployments, the cron schedule is as follows:
Therefore, for a new installation and freshly created river, it will take about 30-35 minutes before your river starts filling up.
NOTE: The rate at which drops start appearing in your river is also dependent on other factors (outside the control of the application) e.g.