The term 'Beat the Draft' refers to a strategy used during the Vietnam War in which people would take steps to avoid being drafted into the military. The two crossword solutions, ENLIST and OXEN, are related to this strategy. ENLIST is a verb meaning to voluntarily join the military, which was one way to avoid the draft. OXEN is a noun referring to a type of draft animal, and some people chose to become farmers and use OXEN to plow their fields in order to be exempt from the draft.