Linlin scored 15.600 in her faultless routine, which gave her an early lead with eight gymnasts left to go.
Despite a slight dip, the Romanian managed to sit in the bronze medal position with a score of 15.066. However, her place was short-lived as the USA's Alexandra Raisman, who won gold in the team event, launched an inquiry following her routine on the beam.
The American scored a 14.099, which put her in fourth place, but was upgraded to the bronze spot after the judges accepted her protest following a dispute over feet placement.
China's Sui Lu secured the silver medal following a routine, which nabbed her a score of 15.500.