Summary: An analysis of the stability of the spindle transform, introduced in [the first author and W. R. B. Lionheart, Inverse Probl. 34, No. 8, Article ID 084001, 24 p. (2018; Zbl 1442.44002)], is presented. We do this via a microlocal approach and show that the normal operator for the spindle transform is a type of paired Lagrangian operator with “blowdown-blowdown” singularities analogous to that of a limited data synthetic aperture radar (SAR) problem studied by R. Felea et al. [SIAM J. Math. Anal. 45, No. 5, 2767–2789 (2013; Zbl 1288.35021)]. We find that the normal operator for the spindle transform belongs to a class of distibutions \( I^{p, l}(\Delta, \Lambda)+I^{p, l}(\widetilde{\Delta}, \Lambda) \) studied by Felea [loc. cit.] and F. Marhuenda [Trans. Am. Math. Soc. 343, No. 1, 245–275 (1994; Zbl 0826.58036)], where \( \widetilde{\Delta} \) is reflection through the origin, and \( \Lambda \) is associated to a rotation artefact. Later, we derive a filter to reduce the strength of the image artefact and show that it is of convolution type. We also provide simulated reconstructions to show the artefacts produced by \( \Lambda \) and show how the filter we derived can be applied to reduce the strength of the artefact.