sunset industry 
noun
An old and declining industry.We are turning a sunrise industry into a sunset industry, as Australia and Chile get out there and capture our markets....
- I recall that it was a Labour Prime Minister who, some 10 years ago - it might have been a few years longer ago than that - said that the dairy industry was a sunset industry.
- After visiting several textile factories around the island, I don't think that textile is a sunset industry.