The band reunited with Cool for Cats producer John Wood and, after Glenn Tilbrook composed music for Difford's new lyrics, recorded the album in late 1979.
Argybargy was a commercial and critical success, reaching number 32 in the UK and becoming the first Squeeze album to chart in the US.
The album has since been recognized as a classic of new wave and features multiple of the band's most famous songs, including "Another Nail in My Heart," "Pulling Mussels (from the Shell)," and "If I Didn't Love You."
This level of fame and recognition began to take its toll; Glenn Tilbrook worried of becoming "too big for [his] boots" and struggled with being recognized in public.
Difford recalled, "Miles told us no one would know what it meant but we didn't give a shit and were in a belligerent, young Englishmen's mood, so we kept it.
[15] On the Billboard dance chart, all cuts from Argybargy jointly peaked at number 76, and spent 6 weeks on that listing, in the summer of 1980.
"[17] Stephen Thomas Erlewine of AllMusic wrote, "Argybargy doesn't stay in one place; it's restless and crackling with colors... with Argybargy it was clear that Squeeze were at the top of the pack among new wave popsters, and that their sardonic yet lively voice was unique among any pop group before or since.
All tracks are written by Chris Difford and Glenn Tilbrook, except where notedArgybargy was re-issued in 2008 as a two disc deluxe edition.