"Ladyfingers" is a 1965 instrumental track composed by Toots Thielemans and performed by Herb Alpert and The Tijuana Brass.
It is featured in the Fallout TV series episode "The Past", in the scene when Lucy and Maximus on one side, and Javin and Rink on the other are crossing the bridge with their hands raised.
It is also included on the official Amazon Music playlist "Music from Fallout" promoting the series.[1]