Inductor power rating ?

I would like to build a choke input power supply that calls for a 3A choke
with a critical inductance of 10 mh. Would it be ok to use a inductor just
rated for 2A and 70 mh. Oh I realize it will start to saturate but even if it
did lose 75 % of it's inductance that would still be above the critical value.
But would the 3 A likely harm it ?
 
Two things may happen with the 2A rated choke.
The choke may run hot and possibly fail with a constant 3A load.
The choke may not act as much like a choke with more than rated current. It may start to act more like a resistor in some cases.

The advantage of having the right choke in a choke input supply is the improved power factor and supply regulation.

Is the 3A load constant?
 
Two things may happen with the 2A rated choke.
The choke may run hot and possibly fail with a constant 3A load.
The choke may not act as much like a choke with more than rated current. It may start to act more like a resistor in some cases.

The advantage of having the right choke in a choke input supply is the improved power factor and supply regulation.

Is the 3A load constant?
What are you talking about, a common mode or a differential mode choke? This make a big difference!
 
Note that if the current rating of 2A is due to an internal temperature rise limit for insulation, then operating at 150% current rating is the same as 225% power rating, which may be quite an increase for the internal temp rise. Survival would depend on the safety margin built in to the 2A rating, and the tolerance of your 2A to actually being 2.0A (ie. your meter performance and any changes due to other factors).