Oh, absolutely! A concession really shouldn't be a "Villain disappears in a puff of smoke" situation.
I remember one concession I used when my players were fighting a nest of Red Court vampires and one of them had to use her Severe Consequence to stay in the fight and activated her Righteousness ability (we call it "Holy Boom"). I used a concession to spare the life of the leader, but the players got to see that half his face was melted off. Permanently.
Something like:
"Player: 'Bob-the-True-Believer will take a severe consequence from that attack, triggering Righteousness. Brace yourselves for the 'Holy Boom'.'
GM: 'Before you pick up those dice, I'd just like to offer a concession on the part of the big bad RCV. He'll take an extreme consequence as the power of Bob's faith tears into his body, melting half his face clean off, be out of the picture for at least a few months in-game, and his current plans are a wash, but he'll survive and escape. How's that sound?'
Player: 'Well, I
did just take a severe consequence, so I guess chasing him down would be too risky right now. Yeah, I'll let him get away. This time.' "?