Credit to
Danny Dubs 86:
I got this achievement within seconds of the first time I fought it. I started the fight by using the Sin Devil Trigger and rushing straight at the boss. I attacked one of the heads, and the achievement popped.
As such, I think it's tied to stunning the heads, though I don't understand the conditions for it. I thought I was doing exactly what the description says not to do (brute force).
I did the same and got the achievement:
Just went Sin Devil when the fight started and RB+forward+Y until I exhausted the gauge. I noticed that Cerberus skipped its Electric stage and went straight to Ice stage because the electric head was down, so that's probably the condition for the achievement.