Fig. to do something with vigor; to do something energetically as if one were angry. Bob is building that fence with a vengeance.Mary is really weeding her garden with a vengeance.
and flame with resentment; flame with lust; flame with vengeance
Fig. [for someone's eyes] to "blaze" or seem to communicate a particular quality or excitement, usually a negative feeling. His eyes flamed with resentment when he heard Sally's good news.Her eyes flamed with hatred.
Cliché with determination and eagerness. The angry soldier attacked the enemy with a vengeance. Bill ate all his dinner and gobbled up his dessert with a vengeance.
Cliché to seek and get revenge on someone by harming someone or something. The gangster wreaked his vengeance by destroying his rival's house. The general wanted to wreak vengeance on the opposing army for their recent successful attack.
With great violence or energy; also, to an extreme degree. For example, The cottage was filthy and Ruth began cleaning with a vengeance, or December has turned cold with a vengeance. This expression was first recorded in 1533. Also see with a will.