The term 'run out, as a subscription' can be summarized by two crossword solutions: EXPIRE (6 letters) and LAPSE (5 letters). EXPIRE means to come to an end or to pass the period of validity, while LAPSE means to cease to exist or to become invalid. These terms are often used in reference to subscriptions, such as magazine subscriptions, which have a set period of time for which they are valid. When that period of time has passed, the subscription is said to have expired or lapsed.