Necessity is the mother of invention. So if you are waiting for a tool to get into the wagon of continuous delivery, wait no more.
Culture should be cultivated to deliver often. And it should come before any tool. Once you are in the habit of finalizing what you started before starting to work on something new you will find yourself begging for a tool to speed you up.
This is because what looks natural to us to do every week in an hour becomes tedious when we need to spend that hour every day. The waste is simply visible now.
The tools then come alone, just from the need you will find or invent them.