I remember some local press about The Jolt, a band from the late 70s who really talked up The Jam as being an influence.

This is what wiki had to say:-

The Jolt were a Scottish band formed in Wishaw in 1976.

They started out playing 1960s covers and then sped up their music, playing a mix of punk rock and power pop. The lineup was Robbie Collins (guitar, vox), Jim Doak (bass, vox) and Iain Shedden (drums). The band built up its following playing at the Crown Hotel, Wishaw. They enjoyed moderate success during the punk and early new wave era. They moved to London, England and signed to Polydor Records. They opened for bands such as The Jam, The Saints, Generation X and The Motors. They were precursors to the mod revival, which came to fruition around 1979, the year the band split.

They actually covered a Jam song, See-Saw, and it has been included in the excellent and comprehensive Big Gold Dreams box set that I’ve referenced a few times.  But rather than that, here’s one of the three singles they recorded for Polydor:-

mp3 : The Jolt – You’re Cold

It’s their hugely enjoyable just-under-two-minutes-long debut, dating from 1977, and is more punk than mod orientated….I’m assuming their sound evolved and was moulded somewhat by the record label bosses.