Headway refers to progress or advancement, particularly in a positive direction. It can be used both as a noun and verb. As a noun, it means forward movement or progress towards achieving an objective. For example, if you are making headway on a project, that means you are making progress towards completing the project.
As a verb, to make headway means to move forwards towards your goal or to achieve success in something. For instance, if someone says "I am trying to make headway in my career," it implies they are working hard and taking steps towards advancing their professional life.