We report on spectroscopy of the low-lying electronic transitions in ²²⁴Ra⁺. We measured the frequencies of the ²S_1/2 ↔ ²P_1/2 cooling transition, the ²S_1/2 ↔ ²D_5/2 clock transition, the ²D_3/2 ↔ ²P_3/2 electric dipole transition, and the ²D_5/2 ↔ ²P_3/2 cleanout transition. From these measurements we calculate the frequencies of the ²D_3/2 ↔ ²P_1/2 repump transition, the ²S_1/2 ↔ ²D_3/2 electric quadrupole transition, and the ²S_1/2 ↔ ²P_3/2 electric dipole transition. The ion’s low charge-to-mass ratio and convenient wavelengths make ²²⁴Ra⁺ a promising optical clock candidate.