On 8 July 2020, Høholt made his senior debut in the Danish Superliga in a 1–1 draw against SønderjyskE.[2] At the end of the season, he suffered relegation to the 1st Division with the club on 9 May 2021 after a loss to last-placed AC Horsens.[3]
On 4 June 2021, Høholt signed a new two-year contract with Lyngby, and was permanently promoted to the first team ahead of their new season in the second tier.[4] He made his first start for the club on 4 August in a 9–0 win in the Danish Cup first round against Østerbro IF.[5][6]
To gain some experience, 20-year old Høholt was loaned out to Faroese club B36 Tórshavn on 25 January 2021 until the end of June 2022.[7] The deal was later extended until the end of August 2022.[8] On 31 August 2022, Høholt was loaned out to Danish 1st Division side Nykøbing FC for the rest of the year.[9] At the end of the 2022-23 season, Lyngby confirmed that Høholt had left the club, as his contract wasn't renewed.[10]
On 8 July 2023, Høholt returned to Nykøbing FC on a permanent deal, signing until June 2025.[11] For the whole of 2024, Høholt sat out with an overuse injury.[12]