Cavity membrane is used in basements, when you have water coming through a wall and can't stop it. The idea is that water is allowed to run down the wall behind the membrane, into a gutter or trough whence it is drained or pumped away. In these cases a false floor is also used so that water coming through the floor can also be taken away without grtting into the habitable space or structure, and there is a false wall on the dry side. The floor and walls on the outside of the membrane will be permanently wet.
AFAIK it is not common in UK except for basement conversions and you would need to find a contractor who could show he was trained in the method and preferably approved by the system manufacturer. This might explain the high cost. I would be very cautious of a jobbing local builder.