If someone stamps on a dishonest or undesirable activity, they act immediately to stop it happening or spreading.
The tone of her voice was designed to stamp on this topic of conversation once andfor all. [VERB PARTICLE noun]
Mrs Amaury's story had to be stamped on before it got any further. [VERB PARTICLE noun]
The government's first duty is to defend the currency by stamping on inflation. [VERB PARTICLE noun]