Measurements of secondary cosmic microwave background (CMB) anisotropies, such as the Sunyaev-Zel'dovich (SZ) effect, will enable new tests of neutrino and dark sector properties. The kinetic SZ (kSZ) effect is produced by cosmological flows, probing structure growth. Ultra-light axions (ULAs) are a well-motivated dark-matter candidate. Here the impact of ULA dark matter (with mass 10 −27 eV to 10 −23 eV) on kSZ observables is determined, applying new analytic expressions for pairwise cluster velocities and Ostriker-Vishniac signatures in structure-suppressing models. For the future CMB-S4 and ongoing DESI galaxy surveys, the kSZ effect (along with primary anisotropies) will probe ULA fractions ηa = Ωaxion/ΩDM as low as ∼ 5% if ma 10 −27 eV (at 95% C.L.), with sensitivity extending up to ma 10 −25 eV. If reionization and the primary CMB can be adequately modeled, Ostriker-Vishniac measurements could probe values ηa 10 −3 if 10 −27 eV ma 10 −24 eV, or ηa 1 if ma 10 −22 eV, within the fuzzy dark matter window.