noun

• (uncountable) Skill in the handling or manipulation of a situation.
  "It is not impossible that this bold attempt to wrest from this State and Nation, so large and important a frontier territory; with the insidious arts, and unblushing finesse and chicanery, with which the British pretensions have been managed, may yet awaken the American people from their apathy on the subject— […]"
• (uncountable) The property of having elegance, grace, refinement, or skill.
  "An Indian known by the name of Silver Heels, from his superior agility, as well as his admirable finesse in the art of war, and who had killed more of the enemy than any one of the tribes in alliance with Great Britain, accidentally came into the fort just before the soldier was to receive his punishment, and expressed his displeasure that a man should be so shamefully disgraced."
• (countable) An adroit manoeuvre.
  "The first inroads on our laws of incest were made at the instigation, and by the secret management, of some of our "prime nobles," who had either seduced, or married, or pledged themselves to marry a wife's sister; and who wished by this finesse, to escape, at once, public odium and personal responsibility; […]"
• (countable, card games) In bridge, whist, etc.: a technique which allows one to win a trick, usually by playing a card when it is thought that a card that can beat it is held by another player whose turn is over.
  "The Finesse Proper.—When, upon the invite of your partner, you refuse to force with your strongest card, or one of equal strength, you are in the case of the finesse proper. Holding the ace, queen, and ten, and taking with the queen, is a simple finesse; that is, a finesse to the king."

verb

• (transitive, chiefly Canada, US, politics) To evade (a problem, situation, etc.) by using some clever argument or stratagem.
  "It is said that democratic institutions necessarily lead to political corruption. I can only say that it has not been so in this Colony. Members have schemed, finessed, log-rolled, to serve their districts, but never to put money in their own pockets."
• (transitive, chiefly Canada, US, politics) To evade (a problem, situation, etc.) by using some clever argument or stratagem.
  "Distressed as she was, she rose the next morning determined to contend with her feelings,—to think no more of Trevor,—and to finesse no more for a husband—she had had enough of it."
• (transitive, chiefly Canada, US, politics) To evade (a problem, situation, etc.) by using some clever argument or stratagem.
  "I was tryin'a finesse you outta them drawers, and you finessed a nigga out his heart," he said with a chuckle, "But that's cool. 'Cause I know it's in good hands.""
• (intransitive, card games) To attempt to win a trick by finessing.
  "In the first round of a suit, you should generally, / 8. PLAY YOUR HIGHEST CARD THIRD HAND. / a. In order to strengthen your partner. You presume that he leads from his strong suit, and wants to get the winning cards of it out of his way[…]; you, therefore, do not finesse[…], but play your highest, remembering that you play the lowest of a sequence[…]. With ace, queen (and, of course, ace, queen, knave, &c., in sequence) you do finesse, for, in this case, if the king is in the fourth hand, it must make, unless single, which is very improbable; and by putting on the ace, you make the king good, if against you."