Some people wailed and cried.
The fracas came about after the ruling party introduced a motion that would remove an age cap of 75 years on the country's President from the constitution - a move that would allow Mr Museveni to stand for re-election.
Under the existing constitution, a person standing for president must be under 75 years of age - which would make Museveni, 73, ineligible to stand at the next polls in 2021.
The hullaballoo was too much for the House speaker who, after many attempts to bring the parliament back to order and quieten the disgruntled opposition party, adjourned the session.
The countries communication regulator banned live broadcasts of the meeting after Tuesday's disruption, but clips of today's session have been shared on Twitter.
That bill has led to protests in Uganda and, on Tuesday, the parliamentary fistfight. The controversy dates from 2005, when a constitutional amendment eliminated the period of two terms of office for the country's president, Yoweri Museveni, were able to run for a third term, won by him in February past year, despite opposition protests.
New information about the smartphone line of Pixel 2
Besides, the Google homepage on the Pixel smartphones would have a revamped look and design, Artem has noted. For of the camera it is expected that it will be implemented portrait mode through a software algorithm.
But fighting broke out again when parliamentarians returned to the house on Wednesday.
"Violent scenes & fights offend minimum broadcasting standards.@UCC_Official [UCC] is obligated by law [to] enforce these standards & protect consumers", Tumwebaze wrote.
"If you looked at those images coming from parliament and you're a child, I don't think those were the most decent pictures", Godfrey Mutabazi, the executive director of the Uganda Communications Commission told NBS Television.
Police have violently broken up street demonstrations protesting the effort to amend the constitution, arresting scores since the past week.
When finally put to the vote, the bill is expected to pass easily, as the majority of the almost 500-member chamber belongs to the ruling party.
The move to jettison the age limit is widely seen as an effort by Museveni to extend his rule. Those supporters say the bill is not specifically about extending Museveni's rule, but rather ending discrimination against older politicians.