come out for something—
1. go on strike in order to gain smth.:
- The Post Office workers have come out for more pay.
2. support smth.:
- The Government comes out for the decentralization of the decision-making process.
go out for something—
1. make a concentrated effort to obtain or achieve smth.:
- Don’t trust that man. He just goes out for anything he can get.
2. = come out for something 1:
- We went on strike for a noneconomic reason. If we went out for more pay they could permanently replace us right now.