Lim debuted on the Junior Grand Prix (JGP) series in September 2016, placing fourth in Ljubljana, Slovenia.

In her next JGP event, in Gdańsk, she received a score of 58.60 after struggling on the first spin of her program and an edge warning on her opening combination, a triple flip-triple toe loop.

[12] Lim started the 2018–2019 season with a win at the 2018 CS Asian Open Trophy, placing first in the short program and second in the free.

At the event, she won a silver medal behind Satoko Miyahara of Japan and ahead of Kim Ye-lim, her Korean teammate.

At the 2018 Rostelecom Cup, Lim placed sixth in the short, missing her opening combination and stepping out on both her double axel and triple flip.

At Four Continents, Lim placed fourth in the short program, with what would have been a new personal best score but for a one-point deduction for a time violation.

Only she knows.” Following the controversy at the World Championships, Lim departed Arutyunyan's camp and returned to Korea for training with her former coaches.

Lim began her season with her new coach at 2019 CS Autumn Classic International, where she ranked fifth in the short program and third in the free, winning the bronze medal.

Beginning the Grand Prix at 2019 Skate America, Lim was eighth in the short program following multiple jump errors.

In the short program, she had errors on her triple Lutz-triple toe loop combination, and in her free skate, she had multiple falls and numerous under rotations leading her to finish seventh overall.

[25] Returning to international competition, Lim's first Grand Prix assignment was initially the 2021 Cup of China, but following that event's cancellation, she was reassigned to the 2021 Gran Premio d'Italia in Turin.

[28] At the 2022 Korean Championships, Lim placed sixth in the short program but ninth in the free skate, dropping to ninth-place overall.

[31][20] Since retiring from competitive figure skating, Lim began choreographing for former coach, Choi Hyung-kyung's students.

[32][33][34] In August 2024, Lim starred as the lead role in a South Korean musical ice show, titled, "G-SHOW: THE LUNA.