We demonstrate experimentally that a thermal gradient in a nanostructured YIG(66 nm)/Pt(7 nm) bilayer can trigger coherent spin dynamics in the YIG layer due to a spin Seebeck effect (SSE) induced spin-transfer torque (STT). The experiment is performed on a 4 {\mu}m long and 475 nm wide YIG/Pt nanowire at room temperature. Magnetization precession is excited by applying 50 ns long dc pulses to the structure, and detected using Brillouin light scattering (BLS) spectroscopy. SSE-driven magnetization auto-oscillations appear on a short time scale of around 20 ns, afterwards the BLS signal decays again. The observed behavior is caused by the interplay of the SSE, which depends on the thermal gradient, with effects depending on the absolute temperature, e.g., the spin mixing conductance. Numerical simulations show that the thermal gradient saturates within a few nanoseconds, but the absolute temperature of the system steady increases during the dc pulse. Moreover, the experimental data demonstrate a small contribution from the spin Hall effect. Our findings suggest the generation of a coherent precession state from incoherent SSE-injected magnons and reveal an application potential for microwave sources at room temperature.