Would it be possible to add the facility for an editor to get a refreshed module
menu, without needing the CMSMS cache to be flushed (only method I have spotted
so far).

The specific issue is with the Gallery module_gallery plugin. If an editor adds
new galleries, these do not show up in the list until the cache is cleared.

I couldn't think of a particularly clever method of refreshing this based on
when the galleries are updated. Maybe an option would be to add a small refresh
icon in the top right of the module menu dropdown?