Using this action in our CI we encountered issue when runner machine run out of storage space on post cache step. Checking command used in this step we can see that it does not use compression and result image size in our case is pretty big:

docker save --output ~/.docker-images.tar image1 image2 image3
5.3G

Locally tested that the same command with gzip take 2 more minutes but produce file, which size is considerably smaller:

docker save  image1 image2 image3 | gzip > ~/.docker-images.tar
1.7G

After checking this action docs there seems to be not way to configure it to make use gzip, which it would be really helpful in our case.