Chicago tuning of both banjo and tenor guitar are often used. The late Tommy Tedesco, thought to be the most recorded guitarist used Chicago tuning on both tenor banjo and tenor guitar (and mandolin and bouzouki...)
Nick Reynolds of the Kingston Trio and jazz guitarist Tiny Grimes also tuned their tenor guitars to Chicago tuning.
I prefer Chicago tuning on tenor banjo for jug band tunes, but prefer GDAE or DAEB for Irish fiddle tunes.

Although many folks refer to Eddie Condon as a tenor guitar player, his instrument of choice was the plectrum guitar.