Thermal dark matter which after chemical decoupling from the Standard Model thermal plasma rises its yield before it freezes-out is a new feature of thermal DM scenarios dubbed as "Bouncing Dark Matter". In the following short note I introduce the topic, exemplifying the mechanism with a simple model which extend the SM with a two component DM, a fermion and a pNGB, plus a second Higgs. We explore the features of the thermal freeze-out of this scenario, with particular emphasis on the exponential growing of the yield of the pNGB. We test the model under collider bounds, relic abundance, direct detection, and we study prospects for indirect detection observables.