Linarite is a quantum ferromagnetic chain with frustrating next-nearest neighbour antiferromagnetic exchange. This class of frustrated ferromagnets is predicted to show bond-multipolar order close to the saturation field without long-range ordered dipole moments transverse to the magnetic field. The saturation field of linarite, about 10T, is so low that exploration with neutron scattering is possible in the high-field multipolar phase. Single crystals are available. We propose an inelastic neutron scattering study on the dynamics of linarite above the saturation field, to identify unambiguously its microscopic parameters, and to follow the Bose-Einstein condensation of 2- or 3-magnon states at selected wave vectors upon lowering the magnetic field through the saturation field. This study requires a cold triple axis, and we ask for 14 days on IN12 or IN14 equipped with a vertical magnet (12 T or 15 T).