Australia were 41-0 off just 3.1 overs on Sunday when rain began to fall heavily in Sydney, just 11 balls away from the five overs required to constitute a match.
With dark clouds looming, Finch plundered 37 off the first 3.1 overs, leaving David Warner, who scored 217 without losing his wicket in his previous three innings, a mere spectator at the other end.
Steve Smith nearly courted trouble on Friday during Australia's 3rd T20I against Sri Lanka in Melbourne. There have, however, been instances of commentators running into trouble for relying too much upon information during their interactions.
Vice-captain Alex Carey said that Australia had even enquired the match-officials on the changeover with rain around.
After being sent in to bat first, the tourists were 107-5 in 15 overs when play was halted for over an hour due to showers, meaning Australia were set a revised target of 119.
A valid result would have been declared if 11 more balls had been bowled under DLS, but a 20-minute break between innings, when it wasn't raining, prevented this from happening.
"I think there's always times when you go through ups and downs as a side, but now we've got a specific date in mind, which is the start of the World Cup, to really build that foundation of a really good, solid T20 side that can beat the best in the world and sustain that for a long period of time", Cricket.au quoted Finch as saying.
Currently, Australia is hosting Sri Lanka for a three-match T20I series.
That brought Haris Sohail to the crease, but he made a poor decision in going after Kane Richardson too early, top-edging to Smith to leave the visitors struggling at 10 for two.
Shortly after Rizwan (31) was dismissed by Ashton Agar in the 11th over, dark clouds hovered above the Sydney Cricket Ground.
Canberra hosts the second match on Tuesday.
Starc removed opener Fakhar Zaman and hard-hitting allrounder Imad Wasim for golden ducks, while Richardson also struck early.
