Fusion is a non destructive workflow by design. This will be something you need to wrap your head around coming from after effects. There is NO need to nest comps in fusion.
Nested comps in fusion generally would managed with a precomp to branch. There is a simple disk icon in every tool. Click on it and it will render out your comp up to that point. You can choose interactive (default) or force a render of cache. Fusion is smart enough to de-validate the cache if you make changes upstream of that node. You can lock the cache if you want to prevent that (good for testing some node settings)
Some things to note however, if you have a node within the cached branch, that is being used to drive/mask tools in another branch, then you will see that branch get re-rendered each time that tool is requested, meaning the cache becomes less efficient. Place as many caches as you like, try to be smart about where you have them, and it can be quite a blessing.
Another thing to note is that there is currently no system to manage your caches, meaning if you do 20 caches on 20 comps and don't cleanup, you'll eventually run into some issues.
I'm not sure if someone has written this, but there should be easy way to write a script that purges your comps cache, buy explorer delete is much easier

Hope that helps