Gifts of healing

to another gifts of healing by the one Spirit, to another the working of miracles (1 Cor 12:9-10).

According to Gordon Fee, in his revised commentary on 1 Corinthians (Eerdmans 2014):

The plural charismata ["gifts of healings"] probably suggests, not a permanent "gift," as it were, but that each occurrence is a "gift"in its own right. So also with the plurals in the next item [lit. "workings of miracles"], 659.  

[Quoting Bittlinger] "Every healing is a special gift…" 659n134.

That's a potentially revolutionary take on the typical cessationist/noncessationist debate or stalemate. It's not so much that the healer has a "gift of healing," but that each healing is a divine gift. An act of God's gracious merciful kindness. 

It's possible that some Christians are healers, viz. God heals more often through some Christians than others. But it's not a resident ability which the healer can switch on and off at will. It's just that God chooses some Christians to sometimes act in that capacity.