LiCuSbO4 is a new 1D S =1/2 frustrated chain compound. Chains with frustrated ferromagnetic J1 and antiferromagnetic J2 interactions are of significant interest due to the rich physics predicted by theory, including a quantum critical point when J1/J2 = -4 and many exotic phases in high fields. Within the family of existing materials, LiCuSbO4 is particularily interesting because of the absence for any evidence of 3D ordering down to 100 mK in bulk measurements together with a low saturation field Hs = 12 T that allows a complete comparison to theory. We propose to investigate with musr the zero field\low T magnetic properties of this new material. Our aim is to study with the very high accuracy provided by muons the absence of freezing and to study the changes in the spin dynamics assiated with short range ordering below 7 K and 0.6K which has been inferred from bulk measurements.