It is often assumed that the ideological dominance of neoliberalism has profoundly altered job security and long-term employment relationships. Such claims of a more unstable and insecure jobs market in the twenty-first century are the focus of this paper. Using Labour Force Survey data employment stability in the private sector over more than 20 years in Ireland is examined. As a liberal market economy, Ireland represents a fitting context in which to examine this issue given that it is one of the world's most globalised economies and among the most severely affected by the global financial crisis. Assertions of a more unstable and insecure labour market are not in the main supported by our findings. Reasons suggested for the persistence of a stable employment regime are the continued strategic institutional role of trade unions in influencing regulation, and the interest of employers in retaining skilled employees. However, the emergence of the challenging economic conditions since the pandemic may challenge trade union capacity and employer support for such stability.