As said, sprocket is mounted with rubber dampers.
But follows the adjustment of the wheel somewhat.
Mine had a little squeek after I fiddled with it trying to get it in the center. Quarter turn this way and that and it squeeked. Jacked the rear off the ground, spun it, adjusted the left one just a shade tighter (the belt was a little loose) belt went into the center and it stopped squeeking. Thanked my lucky stars and haven't looked at it since.
So... unless you have some wear/squeeking/burr up somewhere... leave it be.
No squeeking, some people should be so lucky.