Jude Kirton-Darling, the Labour member for the North East of England, was in the chamber in Brussels as UKIP leader Nigel Farage questioned "who's laughing now"?
In highly charged exchanges, Mr Farage was booed and heckled by MEPs as he accused them of being "in denial" about the failure of their single currency and their attempt to create political union in Europe.
Jude Kirton-Darling was asked on Premier's News Hour how the divorce of Britain and the EU was going.
"The comparison would be that we've moved into the spare room," she said.
"Until we trigger Article 50, things are supposed to continue business as usual but, obviously, they can't because this is such a historic vote."
Despite campaigning passionately for a remain vote, she told the News Hour she was not calling for a second referendum and respected the will of the people.
"I think it's best summed up as handbags as dawn, it was a very weird atmosphere," she said after leaving the chamber.
"The sense that you got was that it was the far right who felt like this was a massive victory for them across Europe, so it was a bit depressing," she added.
Elsewhere, David Cameron has said quitting the European Union must not mean Britain "turning our backs on Europe".
Arriving in Brussels for his last scheduled European Council summit as Prime Minister, Mr Cameron said he would urge EU leaders to take a "constructive" approach to negotiations with his successor on Britain's future relations with the remaining EU.
Britain should seek "the closest possible relationship" with its former EU partners in both sides' interests, he said.
Jude Kirton-Darling speaking to Premier's Alex Williams: