Visual inspection of the cam gear and oil pump drive gear is a start...
When rebuilding an engine, I study the condition of the cam gear teeth and the used oil pump drive gear teeth and often see the wear that causes the backlash or sloppy fit. As suggested in previous posts, the best way to determine the correct oil pump drive gear (standard, .004 over or .010) is to test fit them. This is okay if one has all the sizes on hand as I do but they are expensive to own if you only need the correct one. To avoid the purchase of more than one I suggest the following check: Remove the valve chamber cover and then remove the drive gear assembly. With a magnifying glass, study the teeth of the used gear. If the gear is worn, you will find the teeth thinner near the center of the gear. If the mid portion of the gear is within 70% of the width at the outer edges of the gear and the desired fit is close to acceptable tolerance, a standard gear will most likely be the right replacement choice. With the same 70% tooth width standard, if the slop is considerable, order the .004" gear. If the oil pump drive gear has greater than 70% tooth width at the center of the gear and the slop is still considerable, order the .010" as this would indicate the cam gear has considerable wear.
When rebuilding engines with re-ground cams I would estimate my use ratio of available oil pump drive gears is:
Re-install the used drive gear... less than 15% (some used gears show little wear)
Install new standard drive gear ...about 35%
Install new .004" oversize gear ...about 35%
Install new .010" oversize gear ...about 15%
With new cams the standard gear is almost always the best fit.
In my opinion, don't run them so tight they have no backlash. A little clearance is good.
Hope this helps!
Good Day!
Dave in MN