The phrase "no love lost" refers to a situation where there is animosity or dislike between two parties. There are several synonyms that can be used to convey a similar meaning. The phrase "ill will" or "enmity" can be used to describe a mutual feeling of hatred or dislike. "Bad blood" expresses a deep-rooted animosity between two parties. "Antipathy" refers to a strong aversion or dislike towards someone or something. Finally, "discord" can be used to describe a situation of conflict or disagreement between two parties. These synonyms can be used interchangeably to convey the same meaning as "no love lost".