The phrase "small glimmer" means a faint or tiny hint or sign of something.
Sentences with «small glimmer»
A heartbreaking story with small glimmers of hope, the film raises important questions about the availability and equality of opportunities for poor children in America. (edutopia.org)
There may be a small glimmer of hope for Chinese citizens concerned about their privacy, however — a recent report in the South China Morning Post found that China's notorious smog problem has rendered much of the country's expensive surveillance system «useless.» (businessinsider.com)