My clio 200 felt the same way you describe it when i bought it at 81k miles. The mot history indicated worn inner track rods.
I had that done at AWMotorworks. I also asked him to check all the components and he found that the front top mounts were worn and very floppy. I had my mate replace...
I had to take the upper manifold off to get the broken off piece out when i was in the same situation. Not difficult and a good opportunity to clean your throttle body while at it.
