RunAway has competed in numerous major tournaments and fielded the team that would become the Vancouver Titans of the Overwatch League (OWL).

After the release of Overwatch in 2016, League of Legends streamer Yoon "Runner" Dae-hoon created and founded the team RunAway.

[4] After qualifying for OGN APEX Season Two, RunAway was able to make it past the two group stages and into the playoffs, where the team faced LW Blue in the semifinals.

[8][9] Needing more time and income to support his family and feeling that the players deserved a better team to play on, Runner considered disbanding RunAway, but his wife Lee "Flowervin" Hyun-ah convinced him to change his mind.

[10] During APEX Season Four, the team performed solidly in the two group stages and advanced to the playoffs, where they took on NC Foxes in the semifinals.

Despite a close first map, RunAway swept NC Foxes by a score of 4–0 to advance to the Grand Finals, where they took on GC Busan.

[12] Seven days later, the team made it to the finals of the APAC Premier 2017, major Chinese Overwatch tournament, but fell, again, to GC Busan by a 1–4 scoreline.

[3] Heading into season two of Contenders, RunAway signed Lee "Hooreg" Dong-eun from the London Spitfire to join the existing players of Haksal, Bumper, Stitch, JJANU, Twilight, SLIME, and SeoMinSoo.

[19][20] Under an entirely new roster, RunAway continued their dominance in 2018 Season Three of Contenders, bolstering one of the most statistically successful iterations of the organization.

[23] Less than a week later, the team won the 2018 Winter NetEase Esports X Tournament, their second NeXT title, defeating LGD Gaming in the finals by a score of 4–1.

Led by a stellar performance by DPS Jeong "Heesu" Hee-su on Hanzo, RunAway won the map in overtime rounds to claim their third Overwatch Contenders title.

[34] On February 14, 2024, Runner announced on Twitter that RunAway would be returning to competitive play for the inaugural Overwatch Champions Series season.

Failing to qualify for the Spring Split 2020, the club released the entirety of its roster and technical staff so that they could possibly find another team in the following months.