This paper investigates related research spanning from 1954 to 2026 focusing on three main areas: the general torsional response of RC beams, the influence of construction joints on mechanical properties of concrete members, and associated analytical and strengthening approaches. The reviewed literature reveals several research gaps: (1) the lack of experimental torsion testing for construction-jointed RC beams; (2) the stress transfer mechanism of the jointed interface under torsional loading is not well understood; (3) the absence of analytical models accounting for jointed discontinuities; (4) the absence of design code provisions addressing torsion in construction-jointed RC members; and (5) the strengthening of construction-jointed RC beams in the presence of torsion has not been experimentally assessed. Previous studies confirm that construction joints can reduce structural performance. Depending on factors such as joint placement, surface preparation, and the time interval between successive pours, construction joints led to 55% reductions in splitting tensile strength, 24% to 83% in the modulus of rupture, and 15% to 59% in the overall load-carrying capacity of structural members. The externally bonded carbon-fiber-reinforced polymer (CFRP) systems have specifically been demonstrated to improve ultimate torsional strength by a range of 40% to 78%. Furthermore, steel-fiber incorporation and near-surface-mounted (NSM) CFRP reinforcement were also identified as effective approaches.