ah yes, we know of this all too well thanks to our resident pest the Brushtailed possum.
These little bastards are in many cases damned near invincible and basically the ultimate in habitat rape.
I've put a possum under the wheels of our car at 120kph (74mph) only to turn around and see him get up and run away into trees.
I hit one once with a 12 gauge slug from behind at about 20 metres, splitting it's hide from tail to neck and making a channel wound between the base of it's spine and it's shoulder passing through the whole chest cavity, to have it continue running as if it hadn't noticed and was only stopped by #4 shot to the head area a good 10 seconds after.
Had the growling while plucking fur too, even though he had about 4 .22LRs in his head.
But I think the worst was a possum that we shot out of the tree down the back of the property. It got hit in the head with a .22 and hung suspended from the branch by its tail in an inverted position. While hanging I put another 2 rounds through the top of it's skull, it then fell down out of sight.
However the next day we found it wandering very disoriented around out on the street with flies festering in it's head wounds, we shotgunned it. That was a total nightmare, made me wary of shooting possums for quite a while and really taught me that regardless how clean you think the shot was you really ought to locate and physically confirm that the animal is dead.
Nastiness. I generally get them with #2 or buckshot now to be sure.