The album has a heavier sound than debut Jarvis, something that Cocker attributes to realising his band "could rock", which led to him choosing to write with them.

"[4] On the day of the album's release, Cocker spent two hours working in HMV in London, selling and signing copies over the counter and giving customers his own personal advice and recommendations on their purchases.

[5] The album attracted a positive response from critics, with AllMusic saying "the songs here pulsate with perversion, a middle-aged man making damn sure he's going to get with a tight 23-year-old body yet again," and declared it "impossible not to happily wallow in the flood of filth unleashed by Further Complications",[17] whilst NME praised the album's "heavy-but-breathable fuzz-guitars and a granite-hard rock aesthetic, but with bluster bolted outside the studio door" and called the result "an absolute pleasure.

"[18] The Guardian highlighted other attributes, saying that "Further Complications is best when the music quietens, allowing the singer's glorious one-liners to be savoured",[19] and Entertainment Weekly picked out Homewrecker!

It was awarded a silver certification from the Independent Music Companies Association which indicated sales of at least 30,000 copies throughout Europe.