In 2004, he graduated from Tbilisi State University with a degree in jurisprudence and became a lawyer, first working for the Association of Young Economists of Georgia, a conservative think-tank, where he specialized in licensing and permitting regulations.

As a leader of the festival, he was arrested along with other party activists and Japaridze himself as the Ministry of Internal Affairs alleged that the event was meant to "popularize the use of illegal narcotics.

In February 2020, he met with Parliament Speaker Archil Talakvadze in a closed-door meeting that proved to be controversial as it was seen as an attempt by the ruling party to divide the opposition.

Khvichia maintains that he did not break the opposition alliance's line during the meeting and only called for the release of political prisoners and electoral reform.

Despite winning a seat, Iago Khvichia was one of dozens of opposition MPs that rejected the electoral results after allegations of massive voter fraud, along with his fellow Girchi elected deputies.

[20] Since then, he has been Chairman of the Girchi Political Group in Parliament and a member of the Legal Issues and Sports Committees, as well as the Parliamentary Ethics Council.

In the aftermath of the April 19 Agreement, he met with President Salome Zourabichvili to ask her to veto a controversial bill that increased sentencing guidelines for administrative law violations.

[21] In June 2021, he refused to follow the Strength is in Unity coalition in launching a second boycott after Georgian Dream violated the agreement by appointing new Supreme Court justices.

[34] During his hearings, he notably said he would oppose all COVID-related restrictions, would propose a bill to remove a 2005 legislation that banned participation in the "thief-in-law world",[35] and called both Nika Gvaramia and Mikheil Saakashvili political prisoners.

[37] Iago Khvichia is an outspoken support of drug liberalization, including the legalization of the possession, sale, and use of cannabis for recreational purposes.

In 2017, he was the lead attorney in the Givi Shanidze v. Parliament of Georgia case that eventually led to the Constitutional Court ordering the decriminalization of marijuana possession and use.

[48] In December 2021, he was one of six members of Parliament to send a joint address to the EU's Josep Borrell, expressing concern over Georgia's democratic backsliding and calling on Brussels to intervene.

He also bashed Georgia's Prime Minister Irakli Gharibashvili for refusing to join international sanctions, alleging that the government was secretly backing Russia and was "on the wrong side of history".

[50] On the other hand, he opposed all proposals to impose visa restrictions on Russians migrating to Georgia, arguing that the country's doors should remain open to "those fleeing tyranny".

He has claimed that the Cartographers' Case was fabricated by the government to boost up support ahead of that year's parliamentary elections and was "insensitive" in the context of the 2020 Nagorno-Karabakh War.