I learned that unemployed young people in Gyeonggi can get part of their TOEFL or TOEIC registration fees reimbursed through the end of November. This program, which also includes other sorts of tests, is available in 30 cities and counties across the province. It’s a partnership between the provincial government and each local government, so the specific details and amounts available differ from jurisdiction to jurisdiction. Details here.
Note that Seongnam has a separate program, which it administers alone.