I haven't used the dry cleaners under Crescent House for many, many years because of this very thing. I think they are the same owners now as they were then. I have boycotted them for years because of their attitude at the time, they took no responsibility for what they had done.
I think the dry cleaner near the Barbican tube station is expensive, certainly was when I used them some time ago because they could do a garment in 24 hours. I use the dry cleaner on Whitecross St. almost opposite the fish and chip shop and find they are Ok, although I haven't taken any of my precious garments in there, i.e cashmere.