Hi all,
Anytime you experience a compressor stall, first thing I always do is select engine anti-ice on that engine, which instantly decreases your chance of having another one.
Then go ahead and reduce power etc, but further use of the engine would probably be quite OK, albiet with very slow movement of the p/l, and leave the TAI ON for the rest of the flight, that also increases the normal flight idle speed to the approach flight idle speed in a B737, for both engines, if I'm not mistaken!
It works for me!
Cheers