Singly and multiply charged molecular ions are found in diverse environments and hold relevance for a wide range of research areas like combustion chemistry, accelerator physics, atmospheric sciences, plasma physics, astrophysics etc. Molecular dications are of special significance as they can be generated and studied comparatively easily in laboratory experiments. And they have enabled exploration of new and exciting phenomenon such as hydrogen migration, inter-atomic Coulombic decay, plasmonic excitations, orbital tomography etc. The lifetime of a molecular dication is one of its fundamental characteristics, whose measurement contributes to strengthening ab initio calculations and in predicting the concentration of its dissociation products. Most of the already reported lifetimes of molecular dications are in the range of nanoseconds to seconds and metastable states with lifetimes of the order of picoseconds have only been theoretical predicted and an experimental verification is pending. We present a method of measuring subrotational lifetimes of molecular dications formed in three-body sequential breakup of polyatomic molecular precursors. Specifically, we have measured the subrotational lifetime of $$\hbox {SO}^{2+}$$
SO
2
+
, which is formed as an intermediate in the three-body sequential fragmentation of $$\hbox {SO}_2^{3+}$$
SO
2
3
+
. The lifetime against dissociation is determined to be a fraction of the rotational period of $$\hbox {SO}^{2+}$$
SO
2
+
and is of the order of few picoseconds. The method proposed is general and is not restricted to triatomic precursors.