“I haven’t felt like this since 1995,” Anna Waronker sings on the new album by That Dog., and maybe she’s taking just a few years of poetic license. “Old LP” is actually the first album by That Dog. since 1997, reconvening three of the four band members that released “Retreat From the Sun” 22 years ago, just months before announcing the group’s dissolution.

That Dog. arrived during the 1990s upsurge of indie and/or alternative rock; it carried a music-business pedigree. Waronker’s father is Lenny Waronker, the producer who became president of Warner Bros. Records and co-chair of DreamWorks Records; Rachel Haden and Petra Haden, who were both in the 1990s lineup of the band, are daughters of the renowned jazz bassist Charlie Haden. Tony Maxwell, on drums, completed the band.

Back in the 1990s, Anna Waronker was in her 20s, writing and singing about youthful infatuations, hopes, annoyances and prerogatives — sometimes passionately, sometimes playfully. On its three 1990s albums, That Dog.’s music craftily seesawed between punky and pretty: intricate vocal harmonies and violin lines one moment, bristling grunge guitar chords the next.