An applicator for applying a composition to eyelashes or eyebrows, includes a support structure that is elongate along a longitudinal axis. The support structure may include i) at least one branch member that is within the support structure at least in part, the support structure being an open-work structure; and/or ii) at least one branch member having a free end. The branch member may extend, at least in part, obliquely relative to the longitudinal axis of the support structure and may include teeth.