The normalized $\psi$(2S) yield and the ratio of normalized $\psi{\rm (2S)}\mbox{-over-}{\rm J}/\psi$ yields at $2.03<y_{\rm cms}<3.53$ as a function of the normalized charged-particle pseudorapidity density in p-Pb collisions at $\sqrt{s_{\rm NN}}$ = 8.16 TeV. Measurements are compared with the percolation calculation coupled with comover model and EPS09 nPDF. Quoted is the correlated event-class normalization uncertainty.