  We construct supersymmetric $AdS_5\times \Sigma$ solutions of $D=7$ gauged
supergravity, where $\Sigma$ is a two-dimensional orbifold known as a spindle.
These uplift on $S^4$ to solutions of $D=11$ supergravity which have orbifold
singularites. We argue that the solutions are dual to $d=4$, $\mathcal{N}=1$
SCFTs that arise from $N$ M5-branes wrapped on a spindle, embedded as a
holomorphic curve inside a Calabi-Yau three-fold. In contrast to the usual
topological twist solutions, the superconformal R-symmetry mixes with the
isometry of the spindle in the IR, and we verify this via a field theory
calculation, as well as reproducing the gravity formula for the central charge.
