In this study,light-by-light (LBL) scattering with initial polarized Compton backscattered photons at the CLIC,induced by axion-like particles (ALPs),is investigated.The total cross sections are calculated assuming CP-even coupling of the pseudoscalar ALP to photons.The 95% C.L.exclusion region for the ALP mass ma and its coupling constant f is presented.The results are compared with CLIC bounds previously obtained for the unpolarized case.It is shown that the bounds onffor the polarized beams in the region ma =1000-2000 GeV with collision energy of 3000 GeV and integrated luminosity of 4000 fb-1 are on average 1.5 times stronger than the bounds for the unpolarized beams.Moreover,our CLIC bounds are stronger than those for all current exclusion regions for ma > 80 GeV.In particular,they are more restrictive than the limits that follow from the ALP-mediated LBL scattering at the LHC.