Series wound motor with a current source with infinite compliance driving it at a significant portion of it's rated current would rev to destruction, or flash over, or overheat also. The currents in the coils would of course be constant, making for a constant output torque, similar to a permanent magnet DC motor. The motor would accelerate till windage and bearing friction equalled that torque. In a "normal" motor that should be way beyond over-revving it, and the current source would just keep throwing more and more voltage at it as the BEMF increased.
A current source with limited compliance would just hit it's upper limit and become a voltage source, field weakens, you know where this goes.