At the age of 16, on 16 October 2014, he made his Super League Greece debut against Ergotelis at Peristeri Stadium, replacing Andreas Tatos in the 84th minute.

[3] He became the third-youngest player to ever appear in the Greek top-tier (after Kyriakos Papadopoulos and Kostas Antoniou); he later made his European debut against AIK in the Europa League second qualifying round.

[4] On 6 April 2017, Atromitos announced that they had reached an agreement for the permanent transfer of Limnios to fellow Greek club PAOK, starting from the 2017–18 season, for a reported fee of €900,000 and a 15% sell-on clause on future sales.

[citation needed] On 8 August 2018, he scored a goal in a 3–2 home win over Spartak Moscow in the UEFA Champions League third qualifying round.

[15] On 29 December 2023, Limnios joined Greek Super League club Panathinaikos on a permanent deal, signing a contract until June 2027.

[16][17] On 21 February 2024, Limnios scored a goal in the 120+9 minute to force the Greek Cup semifinal against PAOK to go to penalties, where Panathinaikos ended up winning and advancing to the final.

[20] On 9 June 2022, Limnios at the last minute of a 2022–23 UEFA Nations League game against Cyprus suffered a cruciate ligament rupture, and according to doctors' estimations will be out for at least six to seven months.