The Hungry Saw was met with some critical acclaim. At
Metacritic, which assigns a weighted average score out of 100 to reviews and ratings from mainstream critics, the album received a metascore of 79, based on 20 reviews, indicating "generally favourable reviews". In his review for AllMusic, Tim Sendra described the album as "classic Tindersticks", remarking that "the band retain every last aspect of what made [them] special", but also that the band managed to sound "rejuvenated and fresh at the same time". Reviewing
The Hungry Saw for
The A.V. Club, Vadim Rizov noted that while the "strings and brass remain constant" and "Tindersticks remains a champion at feel-bad soul strings," the music on the album was "pared down" and represented "a new sound". Drowned in Sound's Billy Hamilton offered the opinion that while "there's very little here that couldn't slot seamlessly into any of the group's output",
The Hungry Saw was "something that can be unequivocally relied upon to produce the goods." This consistency was also noticed by Campbell Stevenson of
The Observer, who opined that "it's an eternal 3am in their songs, and they haven't messed with the losers' formula."
Pitchfork writer Stuart Berman stated that "
The Hungry Saw's temperate approach feels like the work of a band who are grateful for a new lease on life, but not sure exactly what to do with it," noting how "the record turns increasingly more restrained, as it reconciles the band's well-established soul affinities with a more pastoral presentation" while praising its "beautifully rendered" ballads. In his review for PopMatters, Michael Keefe opined that while "all of
The Hungry Saw finds Tindersticks trekking through fairly familiar territory...they find new diversions along the way." Writing for
Record Collector, Jake Kennedy said that "
The Hungry Saw marks a wonderful coming of age for Tindersticks...this is the sound of pure rejuvenation." In a less complementary review, Shannon Zimmerman of
Spin found that "the first half of Tindersticks' latest is a can't-miss proposition" but that "the disc's second half descends into a morass of half-finished, melancholic curios that mostly go nowhere slowly."
Uncut critic Sam Richards was similarly unimpressed, offering that "Tindersticks have returned refreshed, but some of the old dissolute glamour is gone." This opinion was not shared by
Tiny Mix Tapes, whose reviewing writer said that "ultimately, it's another Tindersticks record, and they're still good after all these years. It's not an incredibly remarkable record, but when a band is this consistent for this long, it's hard to fault it." ==Track listing==