We study the interaction between monetary policy and labor supply decisions at the household level. We uncover evidence of heterogeneous responses and a strong countercycli- cality of hours worked in the left tail of the income distribution, following a monetary policy shock in the U.S. and the U.K. That is, while aggregate hours and labor earnings decline, employed individuals at the bottom of the income distribution increase their hours worked in response to an interest rate hike. Moreover, their response is stronger in magnitude rela- tive to other income groups. We rationalize this using a two-agent New-Keynesian (TANK) model where our empirical findings can be replicated with heterogeneity in the marginal utility of consumption and a stronger income effect for the Hand-to-Mouth households. This setup uncovers a novel channel of transmission of monetary policy via inequality generated by the Hand-to-Mouth substitution of leisure for consumption following a negative income shock. Using a quantitative model with both intensive and extensive margin of labor supply that replicates our evidence, we show that this new channel reduces the amplification of monetary policy via inequality generated by the heterogenous behavior of unemployment along the income distribution.