The term 'Runs a Tab' is a job description for someone who owes money. This person is responsible for keeping track of the amount of money they owe and making sure that it is paid back in a timely manner. This person is usually responsible for keeping track of their own finances, but can also be responsible for keeping track of the finances of others. The crossword solution for this term is 'OWES', which is an acronym for 'Owed With Equal Sums'.