WordNet sense 1 (a horizontal branch from the base of plant that produces new plants from buds at its tips):

offset, stolon

WordNet sense 2 (someone who imports or exports without paying duties):

smuggler, contrabandist, moon-curser

WordNet sense 3 (a baseball player on the team at bat who is on base (or attempting to reach a base)):

base runner

WordNet sense 4 (fish of western Atlantic: Cape Cod to Brazil):

blue runner, Caranx crysos