Well my mother didnt stop working....
Id just give yourself a longer or more often rest period but not stop completely. I developed it during a military training school so there was no stopping for me, but that isnt the way I wanted to go about it. For the most part unless you did something incredibly weird on it theres really not a chance of greater injury, you just increase the amount of time to get rid of it by not giving your muscles that vital repair space they need. We saw the same kind of thing with shin splints and IT band strains, for the most part it would go away on its own you just needed to back off the throttle a little and try to rest it when you could.
That is what I have noticed with minor running injuries; back off for a few days to week and then ease back into it while figuring out if it is a form problem or a general overuse issue. I have used this method with stretching and mobility exercises to overcome slight injuries. I sprint hills frequently, and had a problem with inside foot pain, so I just stretched, matted it out, and kept my runs at a lower intensity till it healed properly.
I noticed after a longer run, my hip flexor would feel a pinch that would cause some dull pain. It was a simple mobility issue that I fixed with stretches and form exercises on my stride. In that case, I was running "lazy" on LSD runs, forgetting proper form. That meant I had to increase pace to accommodate for my longer stride, which also takes into account mental endurance.
At the end of the day, fixing these issues comes down to knowing your own body, and (while I may get flak) what you can push yourself through. My body recovers quickly and my diet is well balanced. I'm not talking about taking Motrin and running through a possible muscle strain. I also emphasize a warmup to myself, especially when doing sprints or hills, even then I take the first few a bit lighter to make sure the demand on my body isn't going to hurt me. There will be times, at least in my opinion, where it hurts and you will have to push through it. But if you know what you are working with,you know what you can "get away" with.
@jafra98 don't forget to add in pushups, pullups, core work, and squats. You will be amazed how little progress in upper body and core strengths improves your running form, endurance, and overall stamina.
