Aspects of the disclosure include systems and devices for delivering an implant to a bodily annulus, such as an annuloplasty implant to a heart valve annulus. Various implants of the disclosure include one or more cinching lines extending through respective flexible tubular members, which are anchored to the annulus. The cinching lines can be tensioned to reshape the annulus. Systems further include least one lock to maintain the position of the cinching lines. Methods of reshaping the implant and locking a position of the reshaped implant are also disclosed.