An arrangement for covering the sharp point of a needle of a syringe or similar needle device. The arrangement includes a hollow cover which exposes the needle in a retracted position and covers the needle in the deployed condition. A resilient multi-section link anchored to the syringe may propel the hollow cover to the deployed position when the link or the needle device is pressed against an environmental surface. The arrangement may be integral with the needle device or may be formed as a separate component which is attachable to the needle device. An optional cap may cover the needle when the hollow cover is in the retracted position.
