Oh, and I meant to say, that's the starter housing sitting above the flywheel. You'll need to remove that before you can get to the starter clutch.
Now, I can't remember for sure, but I think once you've taken the housing off, you can cause the spring to jump out. It's just a tightly wound coil of flat metal. It's actually not that hard to get back into place, but it's been about a year since I've last messed with a Briggs like this. There are also six (ish) or so ball bearings that sit in little grooves under there, don't loose them! Once that, and I think the finger/debris mesh guard, are safely put away, you can then have at the starter clutch.
I've attached an image of what the starter clutch looks like.
I don't collect mowers. I just require Multiple Mowing Solutions™.
