I have just had a floating floor laid. It is uneven and moves when you walk on it. In one area the coffee table moves as you walk past. The layer is trying to say this is normal. Does the floor have to be pulled up to repair and will it be damaged.

That's really funny, he says its normal. Maybe he thinks things should be 'floating'. No not normal. My husband made a really great mess of our (let me clarify, you do mean the 'click' flooring, imitation hardwood?), it floats all right, all over the place, comes apart, etc. mainly because he didn't use that one special tool that tightens up each row as you go.

I don't think your floor will be damaged if it has to be corrected, but get it done now before it gets worse. My husband doesn't see what's wrong and correct it. He put it down 8 years ago !

I would say the base floor was uneven or its to tight at the walls . You should have the installer come a fix it now and don't take its OK for their answer

If by it moves you mean that there is some up and down movement as you walk on it, this would be normal. Generally the laminated or engineered flooring is laid over some kind of cushioning pad. This reduces the noise as you walk on it and helps to even out the floor where unevenness exist in the floor beneath. Over time this padding will loose a lot of its resilience and the floor will be more stable.

That guy is wetting his pants and hopes you accept his lame brain explanation. Floating floors float side to side since they are not attached to the wall, they do not float up and down, period. The foam pad aws not thick enough to make up for the variations in you floor and the installer did not use the shims required to level the project. The whole floor needs to come up. Get a installer that has experience with laminate installation, you have not met one yet.

Yes, the floor should come up. Furniture moving as you walk by is not right. The sub floor should not vary more than 3/16 of an inch in 10 feet. That is the standard to meet most warranties by most suppliers.
Mike