With her skating partner, Ye Quan, she is the 2023 Autumn Classic bronze medalist and a two-time South Korean national champion (2024, 2025).

Lim and Quan are the first South Korean ice dancers to win an ISU Grand Prix medal at either the senior or junior level.

They were admitted to the Ice Academy of Montreal, a prestigious training school headed by Canadian coaches Marie-France Dubreuil and Patrice Lauzon and Frenchman Romain Haguenauer.

[2] The team competed domestically in Canada for two seasons, before opting to switch to represent South Korea internationally.

Lim called the move "a 'thank you' gift" to her parents for their support of her skating career, while the Chinese Canadian Quan added "I was happy to represent South Korea with her.

Their win marked the first Junior Grand Prix event title for any South Korean or Asian ice dance team.

"[16][17] Based on the total results of skaters in the 2022–23 season, South Korea qualified for the World Team Trophy for the first time, with the 2023 edition being held in Tokyo.

"[22] Lim/Quan received their first Challenger assignment, competing at the 2023 CS Autumn Classic International and winning the bronze medal.

[25] Lim and Quan made their senior World Championship debut at the 2024 edition, held in Montreal, the site of their training base.

"[28] Lim and Quan began the season by competing at the 2024 CS Denis Ten Memorial Challenge, where they finished fifth.

[29] Going on to compete on the 2024–25 Grand Prix circuit, they placed seventh at 2024 Skate Canada International and ninth at the 2024 Finlandia Trophy.

[5] At the end of November, Lim and Quan won the bronze medal at the 2024 CS Warsaw Cup before winning gold at the annual South Korean Ranking Competition one week later.

[31] One month later, the duo won their second consecutive title at the 2025 South Korean Championships, earning a spot on the 2025 World team.