The phrase "being in running" refers to someone who is actively competing or participating in a race or competition. However, there are several antonyms that convey the opposite meaning - someone who is not in running, such as being inactive, stationary or uninvolved. Some examples of antonyms for "being in running" could be words like sedentary, stationary or dormant. These words suggest a lack of movement, action or participation, and can be used to describe someone who is not engaged or participating in a particular activity or event.