The two crossword solutions for the term 'punish with a FINE' are 'AMERCE' and 'MULCT'. AMERCE is a verb meaning to impose a penalty or FINE on someone, usually as a form of punishment. It is derived from the Latin word 'amerciamentum', which means 'to assess a FINE'. MULCT is also a verb meaning to impose a FINE or penalty on someone, usually as a form of punishment. It is derived from the Latin word 'multa', which means 'FINE'. Both terms are used to describe the act of punishing someone with a FINE.