Highly energetic jets in p-Pb collisions are produced in the fragmentation of hard scattered partons. They stem from the early stages of the collision and probe potential hot nuclear-matter effects. Jet production cross sections and jet properties are also sensitive to initial- and final-state cold nuclear-matter effects. Studies as function of the collision multiplicity and centrality allow one to investigate a potential dependence on initial energy density and collision geometry.

In this talk we present results from p-Pb collisions at sqrt(s_NN) = 5.02 TeV measured with the ALICE detector. The centrality dependence of the charged jet nuclear modification factor will be discussed. The jet radial structure is explored by comparing jet spectra reconstructed with different resolution parameters. In addition, we will discuss the multiplicity dependence of the $p_{\rm T}$-differential spectrum of ${\rm K}_{\rm S}^{0}$ and $\Lambda$ in jets, which are sensitive e.g. to partonic recombination into hadrons.