It is well established that long-range magnetic order is suppressed in
magnetic systems whose interactions are low-dimensional. The prototypical
example is the S-1/2 Heisenberg antiferromagnetic chain (S-1/2 HAFC) whose
ground state is quantum critical. In real S-1/2 HAFC compounds interchain
coupling induces long-range magnetic order although with a suppressed ordered
moment and reduced N\'eel temperature compared to the Curie-Weiss temperature.
Recently, it was suggested that order can also be suppressed if the interchain
interactions are frustrated, as for the Nersesyan-Tsvelik model. Here, we study
the new S-1/2 HAFC, (NO)[Cu(NO3)3]. This material shows extreme suppression of
order which furthermore is incommensurate revealing the presence of frustration
consistent with the Nersesyan-Tsvelik model