  We present the results of magnetization, ESR and NMR measurements on single
crystal samples of the frustrated S=1/2 chain cuprate LiCu2O2 doped with
nonmagnetic Zn^2+. As shown by the x-ray techniques the crystals of
Li(Cu{1-x}Zn{x})2O2 with x<0.12 are single-phase, whereas for higher Zn
concentrations the samples were polyphase. ESR spectra for all monophase
samples (0<= x<0.12) can be explained within the model of a planar spin
structure with a uniaxial type anisotropy. The NMR spectra of the highly doped
single crystal sample Li(Cu0.9Zn0.1)2O2 can be described in the frame of a
planar spin glass like magnetic structure with short range spiral correlations
in the crystal (ab)-planes with strongest exchange bonds. The value of magnetic
moments of Cu^2+ ions in this structure is close to value obtained for undoped
crystals: (0.8 +- 0.1) mu_B.
