rootless chronyd

Hey there fellows.
Excuse me if I apply the questions in the wrong format or place, it is my
first time.

I attempted to create a Docker Image with the Chronyd installed, yet the
container is rootless, meaning my uid is not root, however my gid is 0
(root).

Now it seems that running the container I receive many permission denied on
/run/chrony and more,

My question is, Is there any way to make the service run not with root?