smart at

smart at (something)

1. To experience a sharp but superficial or fleeting pain caused by something. "I wish I had brought my work gloves with me," I said to myself, my bare hands smarting at the abrasive surface of the cinder blocks I was hauling around. Her entire body was burned so badly by the sun that she smarted at the slightest movement.
2. To experience acute mental or emotional distress. I smarted at his callous implications that I had somehow been responsible for Tom running away from home. She smarted at the recollection of the foolish way she had behaved during the interview.
See also: smart
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.

smart at something

to suffer the pains of something. Over an hour later she was still smarting at his cruel remarks. For many days Ted smarted at the scolding he got.
See also: smart
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.
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References in classic literature ?
So, after deliberating over the two last tumblers, whether he hadn't a perfect right to pick a quarrel with the tall man for having contrived to get into the good graces of the buxom widow, Tom Smart at last arrived at the satisfactory conclusion that he was a very ill-used and persecuted individual, and had better go to bed.