searches
https://en.wikipedia.org/wiki/Tidal_locking
However, if both the difference in mass between the two bodies and the distance between them are relatively small, each may be tidally locked to the other; this is the case for Pluto and Charon
They're apparently tidally-locked, so that's one issue out of the way.
https://en.wikipedia.org/wiki/Charon_(moon)
Periapsis: 19 592.61 km
Apoapsis: 19 598.92 km
Eccentricity: 0.000161[10]
So it's pretty close to a circular orbit.
Orbital period: (6 d, 9 h, 17 m)
But it'd still have to change length by about 6 km every 3 Earth days.