  Some AdS$_3 \times M_7$ type IIB vacua have been recently proposed to arise
from D3-branes wrapped on a spindle, a sphere with conical singularities at the
poles. We explicitly construct a generalization of these solutions
corresponding to a class of electrically charged and rotating supersymmetric
black strings in AdS$_5 \times S^5$ with general magnetic fluxes on the
spindle. We then perform a counting of their microstates using the charged
Cardy formula. To this purpose, we derive the general form of the anomaly
polynomial of the dual $\mathcal{N} = (0 , 2)$ CFT in two dimensions and we
show that it can be obtained via a simple gluing procedure.
