If you want to render individual clips from AE, it seems easiest to use separate comps and multiple comp viewers to see them side-by-side as you work in AE.
If you want them in one AE comp, but also want to render them separately, you can add that comp to the render queue 5 times and change the in/out points for each render in the output module. You’d also need to change the output file names since they’re all the same comp and, therefore, will default to the same file name.
You could also nest the comp you do the grading in into 5 shorter comps and adjust the portion of the graded comp that shows in each, then render each of those.
Another option is to just work in one comp, render that comp as one file, then simply cut it up as needed in FCP.
If I thought about it long enough, there’s probably a half dozen more ways to do it … along with advantages and disadvantages to each, but any of them will work … just depends on your preference.