[SPACE] Magnetospheres for Binary Planets?

[Trachmyr]

For the physicists amongst us; can a binary planet/moon system generate a magnetosphere if the barycenter lies between the two bodies but they are tide-locked to each other? Assume that the planet in question has a molten iron core. How short would the planet/moon orbital period need to be? Would the magnetosphere of the planet ‘stretch’ to cover the moon (I assume not)?

Thanks in advance!
- Trachmyr