On 16 October 2020, Twigt made his professional debut in the first team, in the 5–1 home win over Jong PSV. He came on as a substitute for Boy Deul in the 88th minute.[5][6] On 23 February 2021, Twigt made his first ever start for Volendam in the 3–2 win against Jong Ajax.[7] On 6 May 2021, Twigt signed a new contract with Volendam until 2024.[5]
He scored his first goal for Volendam on 27 August 2021 in a 5–0 win over MVV.[8][9]
On 19 July 2024, Twigt signed a four-year contract with Go Ahead Eagles.[10]
^Berkhout, Han; Bras, Albert; Hommes, Henk; Meer, Judith van der; Poel, Harry; Remijnse, Rob; Stork, Theo (2014). Johanna’s Hof E-Top Tournament - PROGRAMMA(PDF) (in Dutch). FC Castricum. p. 19. Archived from the original(PDF) on 17 September 2021. Retrieved 17 September 2021. De E1 van Buitenveldert staat dan ook bol van het talent. Dat willen Arttu Koldijk, Ayoub Aitali, Calvin Twigt, Diego Diaz Lopez, doelman Floris Rozemond, Ivar Krijger, Jan Muller, Joaud Mahraoui, Lezil da Silva, Mauro Di Bella en Soufiane Elomour op dit toernooi voor een groot publiek laten zien.