I do this exclusively. I use dark and flat field correction in sharpcap live stacking and get multi-minute images of between 5 and 7 minutes composed of several dozen images. I use Fitswork for stacking, but have also used DeepSkyStacker. You just feed your stacking tool "lights" and stack it. I used a color camera for my imaging. This is actually what confuses things the most in stacking programs from what I have seen.
Use the 32-bit (floating point) images that Sharpcap puts out, not the 16-bit. Your images will have a large dynamic range because bright stars won't saturate as often, so you will have more than 16 bits deep of data in your images, depending on how many images you stack. I have used both default and sigma clipping stacking successfully, but prefer to use sigma clipping. You can use sigma clipping again when stacking the live-stacks. No harm done, as bad pixels and satellite tracks will sometimes get past Sharpcap.
I have compared stacking individual subs saved from a live-stacking session in Sharpcap and stacking the live-stack 32 bit floating point images. The differences is pretty subtle to non-existant as far as I can tell.
Here is a recent image I did using this technique using 4 second exposures live stacked for 5 minutes :
https://astrob.in/lciy5l/0/
I do this pretty much exclusively to avoid the need for the complications of guiding and to beat the seeing without filling my hard disk up!