Two-dimensional (2D) polymers assemble organic subunits into covalently linked, high-aspect-ratio networks with long-range order. Despite recent advances in 2D polymerization, scalable and general methods to access few- and single-layer materials are limited. Here we exfoliate a hydrazone-linked covalent organic framework (COF) to yield bulk quantities of few-layer two-dimensional (2D) polymers. Immersing the COF powder in several laboratory solvents exfoliates and disperses thin COF-43 samples, which maintain their characteristic periodic hexagonal structure. This phenomenon was characterized using infrared spectroscopy, dynamic light scattering, atomic force microscopy, transmission electron microscopy, and selected area electron diffraction. 2D COFs with reduced interlayer interaction energies offer a new means to access high-aspect-ratio 2D polymers whose structure may be designed using established principles of COF synthesis.