An electronic device may have a signal cable formed from a flexible printed circuit. A service loop may be formed in the signal cable. The bend may be formed in a desired location on the flexible printed circuit by contraction of an elastic member having ends attached to the flexible printed circuit. The elastic member may be conductive to carry signals and provide shielding. Structures may be attached to the flexible printed circuit to promote bending in a desired location and direction. A crease or other bending promotion feature may be applied to the flexible printed circuit at a desired bend location. Overbending prevention structures such as overmolded elastomeric structures may be applied to the flexible printed circuit at the bend. Integral strain relief features may prevent overbending of the flexible printed circuit upon exiting the elastomeric structures. Overmolded structures may serve as protective bumpers.