You probably want to use a dial indicator to check side clearance. I pulled a new GM cover and an aftermarket cover off the shelf. With a new drive gear in both, the side play at the top of the gear shaft was 003. That is tight enough so you can barely feel any side play. An old GM shop manual says you should have .003-.005 side clearance measured between both gears and the case. There is no spec for the shaft side play. If the shaft rocks noticeably, it may be time for a new cover.