Looks you actually can you access it at http://localhost:3000, but you need the complete API url as you would use from Kimono's web app.
Typically this will be:
http://localhost:3000/api/rss/<APINAME>?apikey=VoN0G0ULsa7rM7qqxVp2a66maHuv3Jkk
Where <APINAME>
should be replaced with the value from the desktop app.
Also note that the value of "apikey" above is the same one you should use since it's coded into the desktop app for the desktop user.
Finally, if you use the "modify results" script, you need to add the following parameter to the end of your request:
&kimmodify=1
EDIT: The above URL just returns your last manual crawl results. The simplest way to actually trigger a new crawl/update in an automated fashion is to make a request to:
http://localhost:3000/ws/startcrawl?apiid=<APINAME>
Then give that crawl some time to complete and fetch the results from the first URL above.