I have short connection story from two years ago at Narita. Due to head winds my plane arrived whole70 minutes late leaving me 20 minutes to catch my Bangkok flight. The same ticket but another airline , both from Star alliance. It was exactly as EricV says above , they escorted us through the airport as departing flight was at other end and we made it with few minutes delay. Unfortunately my luggage did not , arrived only next day but at least in Bangkok again there was lady with sign with my name and informed me right away about delay and how to claim luggage tomorrow