Can anyone ID this part?

It’s from an '07 Mazda3 manual. It seems loose and may be the origin of a clunking noise I’m searching for.

That’s the clutch slave cylinder and lever.

image

Tester

And it looks like the rubber boot has come loose from the transmission housing. Can you push it back in?

Ok thanks. Yep I can.

The cylinder should secure the bracket attached to the end of it pretty firmly, -and if it doesn’t that indicates the cylinder is faulty, or whatever the bracket is apart of is faulty?

Do you get the clunking when you actuate the clutch with engine off?
I also suggest RockAuto website because it has photos of almost all the parts it sells.