The fluorescence excitation (FE) spectrum for the (A) over tilde A(2) <-> (X) over tilde(2)B(1) transition of OClO cooled in supersonic jet expansions has been obtained for the first time from the origin band at 476 nm up to 355 nm. Despite rapid predissociation of the excited OC10 molecules, the fluorescence emission is strong enough to give the FE spectrum with a high signal-to-noise ratio. The present FE spectrum shows the much lower rotational temperature and hence better state resolution than seen in previously reported spectra, demonstrating that it can be used as a convenient spectroscopic tool for the state and mode selection in the photodissociation dynamics studies. The FE spectroscopy can be also applied for the high-resolution spectroscopy and various kinetic studies on the OClO molecules.