A new set of photodissociation experiments and simulations of HI on Ar_n clusters with an average size n=139 has been carried out for different laser polarizations. The doped clusters are prepared by a pick-up process. The hydrogen halide molecule is then photodissociated by a UV laser pulse and the outgoing H fragment is ionized by resonance enhanced multi-photon ionization (REMPI) in a (2+1)excitation scheme within the same laser pulse at a wavelength of 243 nm. The measured time-of-flight spectra are transformed into hydrogen kinetic energy distributions. They exhibit a strong fraction of caged H atoms at zero kinetic energy and peaks at the unperturbed cage exit for both spin-orbit channels nearly independent of the polarization. At this dissociation wavelength the bare HI molecule exhibits a strict state separation, with a parallel transition to the spin orbit excited state and perpendicular transitions to the ground state. The experimental results have been reproduced using molecular simulation techniques. Classical molecular dynamics was used to estimate the HI dopant distribution after the pick-up procedure. Subsequently, quasi-classical molecular dynamics (Wigner trajectories approach) has been applied for the photodissociation dynamics. The following main results have been obtained. (i) The HI dopant lands on the surface of the argon cluster during the pick-up process, (ii) zero point energy plays a dominant role for the hydrogen orientation in the ground state of HI-Ar$_n$ surface clusters, qualitatively changing the result of the photodissociation experiment upon increasing the number of argon atoms, and, finally, (iii) the scattering of hydrogen atoms from the cage which originate from different dissociation states seriously affects the experimentally measured kinetic energy distributions.