Work comes and goes regardless of the economic climate, if you lose work through the customer going out of business then there is nothing you can do about that.
If the client is tightening their belt and decide to cut back on cleaning services then try to be flexible, reduce their call frequency or do the insides every other clean etc, but dont reduce the hourly rate you charge unless you really have no option (which is very rare). Nothing stays the same for ever.
We, ultimately, decide whether our business is successful or not.
Mark