[Arran]

Not it will not, brake cleaner is perchloroethylene, which is what the dry cleaners use to clean mens suits. I think you are getting it confused with carbon tetrachloride which will each some plastics, and rubber, if pechcloroethylene ate rubber it would be a no-no around brake hoses.
I hope someone was joking about the dish soap and water, if you want to disolve old fashioned animal glue, or shrink a grille cloth, water will work perfectly for that. Remember what water does to some Philco dials?
Regards
Arran