Issue fixed by v3.7.4, see #89.
Issue Fork! Example code to reproduce an issue with Safari + react-css-modules < v3.7.0.
Updated components don't no receive their local styles (however they do if dev-tool are open).
https://github.com/gajus/react-css-modules
git clone https://github.com/gajus/react-css-modules-examples.git
cd ./react-css-modules-examples
npm install
node ./node_modules/.bin/webpack-dev-server
node ./server.js