  We compute the holographic subregion complexity of a radiation subsystem in a
geometric secret-sharing model of Hawking radiation in the "complexity =
volume" proposal. The model is constructed using multiboundary wormhole
geometries in AdS$_{3}$. The entanglement curve for secret-sharing captures a
crossover between two minimal curves in the geometry apart from the usual
eternal Page curve present for the complete radiation entanglement. We compute
the complexity dual to the secret-sharing minimal surfaces and study their
"time" evolution. When we have access to a small part of the radiation, the
complexity shows a jump at the secret-sharing time larger than the Page time.
Moreover, the minimal surfaces do not have access to the entire island region
for this particular case. They can only access it partially. We describe this
inaccessibility in the context of "classical" Markov recovery.
