A portable electronic device may have a clip. The clip may be mounted to a housing using hinge structures. The hinge structures may bias the clip towards a closed position. The clip may be opened to attach the portable electronic device to an object. When in the closed position, the clip may lie flush with the exterior of the device housing. Clip biasing may be provided using a torsion spring, a coil spring, a ribbon spring, a clip with built-in biasing, a tension spring, or a compression spring. A coupling mechanism may be used to attach the clip to the housing. The coupling mechanism may include a ratcheting rotatable mechanism, a fixed attachment structure, a flexible attachment structure, a removable structure, or a structure that includes a spring bias adjustment mechanism. The device may have a button with a touch sensor array.