For sinking enemy commerce?
Of course, the trick will be disguising the refueling tender and keeping the codes encrypted so that no-one knows where she'll be refueling and rearming, but an Amur could attack, withdraw and attack elsewhere for weeks if not months before being done in if she had a good captain. Heck, she might well survive the war.
She's cheaper than a nuke boat and easier to hide, quieter and smaller.
She's slow, but if you leave the datum as soon as you fire your torpedoes, then by the time the escorts are on the scene you are quietly out of the scene.
Pick your targets well and you'd be laughing.
Of course, then the convoys would start and that would be a bit harder, but wolfpack tactics would still be viable, focusing on the escorts first to get the enemy helos out of the way and then using the rest of the torpedoes and Stallions (or whatever the Amur carries in ASMs) to whack the commerce, then go deep and quiet before the P-3s arrive.
Alternatively there's the good old Kitchen ASM from Tu-22Ms, a squadron of those could ruin a convoys day if the convoy didn't have a carrier with it or enough decent SAM coverage.
Heck, even if it had both if you combined a Tu-22M attack with a Kilo attack and threw in an Oscar II with a Shipwreck barrage within the same window...well...I wouldn't want to be the CIC Radar operator who had to deal with that lot coming in. You'd be shouting Vampire for six minutes straight.
