An implant device (V), such as a heart valve, for implantation in an animal body includes an annular structure and one or more elongated anchoring members deployable to a deployed condition for insertion into an animal body. The anchoring members are retractable from the deployed condition to a rolled up condition wherein the anchoring members protrude radially out from the annular structure of the device (V) to provide anchoring to a body structure (AS) of an animal. In the rolled up condition the anchoring members at least partly protrude axially of the annular structure of the device (V).