The athlete, who celebrated his 45th birthday during Saturday’s live show, said it was an “absolute blast” being on Strictly.
Cundy was in the dance-off with comedian Eddie Kadi after he scored 19 out of 40 on Saturday.
His salsa to Bellini’s Samba de Janeiro with partner Jowita Przystal was full of dramatic lifts and flips, but ended up receiving the lowest score of the night.
You can see all of this week’s results in our explainer Here.
At the dance-off on Sunday evening, Jody Cundy competed against Eddie Kadi
On Sunday night, Cundy danced salsa again while Kadi and his partner Karen Hauer once again performed “American Smooth to Sex Bomb” by Tom Jones to impress the judges and stay in the competition.
After both couples danced a second time, the judges unanimously decided to save Kadi and send Cundy home.
Craig Revel Horwood saved Kadi and Hauer due to “improvement and musicality”, while Motsi Mabuse said she was the “much stronger” pair.
Anton Du Beke added: “Based on the dance-off and the dance-off alone, I thought one couple danced very well and one couple had a bit of a bad night. There were a few mistakes, so I’d like to save Eddie Karen.”
With three votes for Kadi and Hauer, this meant they had won the majority decision and would remain in the competition but as chief judges Shirley Ballas also said she saved the couple.
Reflecting on his time on the show, Cundy said: “You know what, when I signed up for this I thought what a world I’m signing up for and we did that first live show and I loved every second Absolutely enjoyed it.”
“And just being able to dance and do something I’ve never done before and completely get out of my comfort zone and be with this amazing person.”
He added that his dance partner always had “so much energy” during rehearsals and never “lost faith in him.”
“(She) motivates me to do more and more. So I had a blast,” he added.
Polish dancer Przystal also praised her partner, saying: “I can’t describe how proud I am of you, Jody, because from day one until now there has been a huge improvement.
“And I hope that from now on you won’t hide anywhere when you go out when you hear the music. You will go on the dance floor and give it your all.
“And I hope that one day when you look back on all of this you’ll say I’m proud of myself because this will be my greatest achievement.”
Jody Cundy feared dropping out of the competition due to a leg infection
During the third week of learning the Viennese Waltz, Cundy’s leg became infected, which he said was due to sweat buildup between his limb and the prosthetic leg.
During Saturday’s show, actor Layton Williams surpassed this year’s record by achieving a score of 37, the series’ highest score to date.
The 29-year-old “Bad Education” star wowed the judges with his and partner Nikita Kuzmin’s cha-cha-cha to Whitney Houston’s “Million Dollar Bill.”
Strictly Come Dancing returns on Saturday October 21st at 6.35pm, with the results showing on Sunday October 22nd at 7.15pm on BBC One.