Inclusive D∗ production is measured in deep-inelastic ep scattering at HERA with the H1 detector. In addition, the production of dijets in events with a D∗ meson is investigated. The analysis covers values of photon virtuality 2<Q2≤100 GeV2 and of inelasticity 0.05≤y≤0.7. Differential cross sections are measured as a function of Q2 and x and of various D∗ meson and jet observables.