First, check that it isn't your browser caching - in Chrome developer tools, you can disable caching. Perhaps also try a private window. If that still fails, the hosting service may have caching (would make sense for their business).
Cheap hack though - add a timestamp value as a query parameter for all script tags, eg:
how you accomplish this is up to what sever-side code you're using. The changed URL should defeat caching and won't affect the script.