Hi,
Possible problems
* wrong temperature expectation (it's normal that they get hot. 1A is the upper limit)
* wrong wiring. Maybe too many coils get current (see datasheet about wiring, current limit conditions)
* wrong current measurement
Current:
Average current measurement in a stepper motor gives the information about expectable torque.
RMS current gives the information about coil heating.
With low ripple (almost DC current) average current and RMS current are almost identical.
If there is high ripple current, then RMS current will be (much) higher than average current.
I assume you do a kind of average current measurement. Then 1.08A average current will cause higher RMS current and thus higher temperature rise.
Mind: Let's assume the RMS current is 20% higher than rated (1.2A) .. this will cause 1.2 x 1.2 = 1.44 times dissipated power and thu about 1.44 time higher temperature rise.
Additionally higher ambient temperature, less air flow, bearing heating and loss in magnetic core will increase temperature.
Klaus