Colt Pocketlite rear sight issue?

[Kumora]

So I carry a Colt Pocketlite as my everyday carry gun. It was passed down to me from my grandfather. The rear sight is a little loose. Not so much that it causes in-accuracy but loose enough that it moves rather easily with some slight pressure.

is it supposed to be like that?
is there a way to tighten it without sending it back to colt?

thanks!

[Emptymag]

I'm sitting here pushing side to side on the rear sight of my Colt Pony and it won't budge.
I don't imagine it should move without some force/tools.

I have no idea how to remedy it though.

[Gunsnwater]

Push the sight out, center punch the bottom and reinstall.

[9x23]

Bingo!.........we have a winner. Just to clarify, center punch the sight, not the slide.