Sharepoint 2013 Taxonomy - Update Managed Metadata ( MMD ) Field
scenario: you want to change the label value of your Term:
well, that doesnt seems to change anything in you MMD Field (nor in your search).
the reason is that all that special info is saved in a hidden list "/Lists/TaxonomyHiddenList/AllItems.aspx" and to update her you must change something that allows you to hit the "save" button, like description:
it seems that you then have to make full crawl