Klaiman was born in
Vinnytsia,
Soviet Ukraine,
USSR, and when he was ten months old, immigrated to
Israel with his family. He began his career in the
Hapoel Tel Aviv and
Hapoel Kfar Saba youth teams, then joined
Hapoel Tel Aviv senior team before the
2009–10 season. He played on loan at
Maccabi Herzliya before returning to Hapoel Kfar Saba.
Hapoel Kfar Saba As a child began to play football in the youth system of
Hapoel Tel Aviv, and then moved to the youth department of Hapoel Kfar Saba. On 15 August 2008, he made his debut for the first team, in a draw 0–0 against
Hapoel Ra'anana at
2008–09. At this season Klaiman played 13 games at the first team.
Hapoel Tel Aviv In summer 2009, Klamian moved back to
Hapoel Tel Aviv, and was loaned to
Maccabi Herzliya for half season. In January 2010, he returned to Hapoel Tel Aviv, and was a second goalkeeper during
Vincent Enyeama played
2010 Africa Cup of Nations. Klaiman didn't share Hapoel Tel Aviv games this season, but was part of a squad team that won the double at the end of the season. In summer 2010 on loaned back to
Hapoel Kfar Saba, to get playing time. In summer 2011, Klaiman returned to Hapoel Tel Aviv, as a second goalkeeper for
Apoula Edel. On 31 July 2011 he made his debut for Hapoel Tel Aviv, as he came on as a substitute after Edel got red card at
Tel Aviv derby. On 29 October 2011 he made his debut in the
Israeli Premier League, coming on as a substitute 6–0 victory against
Hapoel Rishon LeZion. At this season he played in 8 games, and at the end of the season won with the team of
Israel State Cup. At
2012–13 season played 10 games. In summer 2013
Danny Amos signed with Hapoel Tel Aviv, and Klaiman again began the season as second goalkeeper. After the 3rd round Amos was injured, and Klaiman impressed when he played and even called up to the
Israel national football team's squad. At this season he played 11 games.
Beitar Jerusalem On 7 August 2014, Klaiman signed a three-year with
Beitar Jerusalem. On 13 August 2014, Klaiman made his debut at the club, at the 1–2 loss to
Hapoel Petah Tikva at the
Toto Cup. On 27 October 2014 Klaiman saved penalty the 82nd minute at the 2–0 victory against his former team
Hapoel Tel Aviv after a bad kick of
Yisrael Zaguri. On 22 May 2018 Klaiman left
Beitar Jerusalem.
Enosis Neon Paralimni On 23 July 2018, Cypriot side
Enosis Neon Paralimni FC announced the signing of Klaiman for a two years contract with an undisclosed fee.
Volos On 1 August 2020, Klaiman signed for two years with
Super League Greece club
Volos F.C. In the morning of 11 April 2023, Klaiman was arrested outside a bar in the Kolonaki region of Athens, for alleged sexual assault of an underage Belgian female; his contract with the club was terminated following the incident.
PAS Giannina On 1 July 2023, Klaiman signed a contract with
Super League Greece club
PAS Giannina. ==International career==