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X-ray polarimetry provides wealth of information about the emission mechanism and geometry of accretion-powered compact objects. Although timing and spectral studies of X-ray binaries have remained highly successful over the past few decades, they are often limited by degeneracies among competing models. The launch of NASA's first dedicated low-energy X-ray polarimetric mission IXPE, operating in the 2 − 8 keV energy band, has opened a new window to probe the physics of compact objects. To date, several black hole X-ray binaries and X-ray pulsars have been observed with IXPE, and significant polarized X-ray emission has been detected in many of them. Interestingly, in many cases, the observed polarization properties differ significantly from theoretical predictions, opening new directions for future research. In this talk, I will present the results of some of my recent works on the timing and spectro-polarimetric properties of X-ray binaries and discuss their implications in constraining the accretion dynamics and geometry of these systems.