Have a fling is an idiom that means to have a brief romantic or sexual relationship. The crossword solutions for this term are 'THROW', 'HURL', and 'TOSS'. All three words mean to propel something through the air with force, usually with the intention of getting rid of it. Therefore, these words can be used to describe the idea of having a fling, as it is a short-term relationship that is often quickly ended.