First of all, don't use any heavy machinery around the spring, or you can seal it for ages.
Try to check if the spring is silted. One way to do that is to look at trees on the UPPER side/slope of the spring. If their
roots are appeearing clearly outside the soil, like skipped veins, then there's a good chance of silting.
Check also the under slope of the spring, looking for cattails. Cattails are one of nature's way to avoid nutrients from silt being lost to the sea. Some cattails are just ok, but a lot of them means they are thriving on the nutrients being washed away from the upper soil.
If the spring is silted , measure the flow of the spring. Use your hands to clean any leaves on the spot. To measure the flow use a small spout, a bottle or bucket and a chronometer. Check how much water flows in one minute. Write down the flow and the hour you made that.
If the spring is silted, try to desilt it using hand tools. Dig carefully right on the spot of the spring. If the flow of water increases fast, stop digging.
Go there the next day and measure the flow again at the same hour. Springs can change their flow according to the hour of the day.
Compare both flows. If the flow increased related to the first day, then it is silted for sure. Dig a little more, leaving the spring water runs freely.
You can dig half a meter around the spring. More than that and you could "hurt" the spring.
If it is too silted, there's not much you can do.
If there's cattle roaming there, fence the spring using barbed wire. The fence
should be at least 5 meters radius from the spring. The long, the better. 50 meters would be great. Don't put the lowest barbed wire too low. It should allow small wild life access the spring.
Plant trees.