If you want to archive a live stream to your computer, so you can upload it as a VOD later, this is done through the record feature in Wirecast.
This will look different based on your version of Wirecast. Version 4.3.0 is used below.
First, after streaming, click the RECORD button next to Broadcast as seen below.
After clicking it, a pop up will appear asking to select a name and file location of the created recording.
After clicking SAVE you need to click the Record button again above. Click it until an arrow appears over the icon like below. This means the stream is being recorded on your hard drive for future use.