To add to what Triley41395 said, the inner part of the clutch that spins with the engine at idle speed is fixed firmly to the engine shaft.
The outer clutch bell housing has a little bit of side to side and lateral play as it has to fit loose enough for the inner part to spin freely; it cannot be too tight or it would drag and cause a lot of friction heat. Once the clutch shoes engage with higher RPM, the whole assembly connects and moves as one.
I agree with SAS289. If the condition of the clutch is unknown it would not hurt to disassemble and clean it. You can do that by removing the external Circlip seen in photo #2 and then slide the clutch apart. You'll need a special set of pliers to remove the circlip though, with tips that fit the two holes on it. . . . .
And don't forget to oil the clutch bushing with 1 or 2 drops of oil while running, more if there's a lot of idling and not lots of high RPM use.