This proposal is part of our research programme to explore the interplay of thermal and quantum fluctuations near zero-temperature quantum phase transitions. Here we plan to use OSIRIS with the 7.3T vertical magnet to measure the temperature dependence of the spin dynamics in the theoretically most studied paradigm for a quantum phase transition: the Ising chain in transverse field. We recently realized this paradigm experimentally for the first time in the quasi-1D Ising ferromagnet CoNb2O6. Here we plan to measure the temperature dependence of the spin dynamics in the vicinity of the critical field, in particular the lineshape broadening and the renormalization of the dispersion as a function of temperature to test key predictions for universal quantum critical scaling in the Ising universality class.