Is it possible to supress instrument names after section breaks?

I am writing a piece for clarinet and piano. It has 4 sections with section breaks at the end of each section. In the piano accompaniment part I have the clarinet part shown as a small stave above the piano staves. I would like to have the instrument names displayed before the first measure of the piece, but not displayed at the start of each section. I have not yet found any combination of style settings that could make this happen. Have I missed something? If not, I will head over to Github and create a feature request.