Bangladesh let Warner survive twice - on 52 and 73.
Making the most of his back-foot method, Handscomb was able to find gaps through the off side, with the occasional sally down the wicket to loft the ball into the expanses between mid-on and midwicket. He survived a video review taken by Bangladesh but the ultra edge detected an inside-edge.
Warner finished on 88 off 170 balls, which included four boundaries, while Handscomb remained undefeated on 69 off 113 deliveries, which included five boundaries. "We meant to bowl at the rough in a bid to extract the turn but Warner showed huge patience".
Matt Renshaw was lost in the minutes preceding lunch when he failed to glance Mustafizur Rahman beyond a diving Mushfiqur - the first wicket to fall to a Bangladeshi pace bowler for the series.
Yet despite his success with the ball, Lyon said it had been a trying day in the field, especially for fast bowler Pat Cummins, who sent down 17 wicketless overs while also spending time off the ground because of heat-related illness.
McGregor live gate falls well short of record
Kavanagh - who is now in Florida - added: "The Nate Diaz trilogy fight at lightweight is what I'd personally like to see next". As impressive as the gate was, it wasn't enough to break the record set by Mayweather's bout against Manny Pacquiao.
After heavy rain washed out more than a session of the day's play, Australia eclipsed Bangladesh's first innings total of 305 by tea before the hosts retaliated in the final session to reduce the tourists to 377-9.
"Gutsy, obviously it's pretty hot out there, we saw that yesterday, and you have to work really hard for your runs", Australia coach Darren Lehmann told reporters.
Still, those were runs on board and Australia have had issues in such conditions - Nathan Lyon picking up a seven-for was an obvious pointer to the pitch being spin-friendly. "If that's what Bangladesh want to do, that's well within their rights".
"I probably tinkered with it (his technique) a lot over the last couple of years in these conditions and probably just didn't nail the basics of what I do best ... attacking and then defending".
David Warner continued his strong showing in the Test series against Bangladesh as he brought up his second century of the series in consecutive innings. His patient 82 included six boundaries.
Ashton Agar dismissed the other overnight batsman Nasir Hossain for 45 with Matthew Wade, whose place in the playing XI was in doubt going into the test, taking a fine catch. With an innings to go this match and four more Tests before the end of the year, Lyon is more than a good chance of joining Warne as the only Australian to take five five-fors in a calendar year this century.