A search for features of the ClO (1-0) vibration-rotation band has been conducted based on a 5000 signal-to-r.m.s. noise ratio infrared (i.r.) spectrum derived by coadding 39 high-quality 0.0053-cm-1 resolution solar spectra recorded with the McMath Fourier transform spectrometer on Kitt Peak. Evidence for absorption has been found at the locations of several of the stronger ClO P-branch lines with minimal interference. Detailed results are presented for the P(8.5) and P(7.5) 2PI3/2-2PI3/2 lines of (CIO)-C-35 at 833.2974 and 834.6249 CM-1, respectively. If ClO is present in the stratosphere at the concentrations indicated by other methods, our analysis indicates that modest improvements in signal-to-noise ratio and spectral resolution would permit a definitive detection of ClO in i.r. ground-based spectra.