Vocalist and guitarist Eoin Loveless and his drumming brother Rory were given some unexpected attention when Labour MP Tom Watson, pictured below, praised them when he stood down from the Shadow Cabinet in July.
The band's ferocious grunge rock had already started to make waves, even though the two-piece are taking it easy.
"Even now, I don't know how seriously we take it, which is a pretty bad attitude to have," says Rory, ahead of a King Tut's appearance on Friday, October 4.
"It has always been a hobby for us rather than a job or anything serious, just us jamming around. Now we are playing shows constantly but it hasn't lost that sense of having fun and I'm amazed we are getting away with what we are doing.
"You get bands who are really serious about what they do, and I feel that we should be as serious as that, but at the moment it's like being on holiday."
A relaxing break doesn't spring to mind when listening to Drenge's music.
A hard-hitting assault on the senses, it is stripped back music that packs a punch.
While the majority of tunes on the band's debut record certainly snarl, Rory insists there is a milder nature to the duo.
"It would be pretty difficult to walk around all day wishing you could break people in half, so we are more calm and collected now," he says.
"The older songs were a way of expressing frustration, of showing resentment at other people - but they are quite old songs, so that has changed as we have been writing less angry songs more recently."
Although the band are evidently sick of the fuss made about them following Watson's comments, it has brought them a degree of extra fame.
However it seems unlikely that the modest Derbyshire duo really desire stardom - unless it is purely to do with their music.
There is a do-it-yourself punk ethic running through the band, right down to their habit of making fanzines to hand out at their gigs, inspired by the legendary punk fanzine Sniffin Glue.
"Eoin was reading an anthology of Sniffin Glue, and we really liked the idea of doing it for our own gigs, like a souvenir," explains Rory.
"It was a way of getting our name out to people who saw us play around Sheffield. It was like a physical thing of having a memory of the gig, without just putting them up online - you have got to come to the gigs to earn your 'zine.
"I definitely want to do one for the tour, a large comprehensive fanzine that covers all the areas we are going to - we tend to theme them around where we are playing, so maybe we might do one just for Scotland."
A somewhat haphazard spirit seems to hang over them, too. Their album, for instance, was released in August but was actually recorded in fits and starts over the past two years, and was never intended as a full record.
"We did four tracks in September 2011, and then thought we would put it out as an EP.
tHEN we did another three or four tracks last year, then another few at the start of this year to turn it into an album," says Rory.
"Being able to go back to tracks we had done a year before was a benefit.
"Our style has changed a lot, and if we had recorded all the songs in one setting then we would have a stale album.
"The songs developed as we developed as a band and over a year-and-a-half, it has added an extra trail we have gone down."
As the band have got bigger, they have found themselves playing to larger audiences, and that has sparked thoughts about Drenge going beyond a two-piece.
"I can see us expanding in the future," Rory says.
"I'd like to write songs in general, rather than writing for just the two of us, so if we needed an extra part or we wanted to experiment I wouldn't want to limit us.
"I don't want to turn into the Polyphonic Spree or start writing Phil Spector Wall of Sound style of ideas, but I want to justify the ideas that we may come up with in the future."
l Drenge, King Tut's, Friday October 4, £8, 8pm