Verb

(finagl)

To obtain, arrange, or achieve by indirect and usually deceitful methods.

...finagle a day off from work.

*{{quote-news

, year=2012 , date=May 24 , author=Nathan Rabin , title=Film: Reviews: Men In Black 3 , work=The Onion AV Club citation , page= , passage=Sequels to fish-out-of-water comedies make progressively less sense the longer a series continues. By the time Crocodile Dundee In Los Angeles rolled around in 2001, 15 years after the first Crocodile Dundee became a surprise blockbuster, the title character had been given an awfully long time to grow acclimated to those kooky Americans. Men In Black 3 finagles its way out of this predicament by literally resetting the clock with a time-travel premise that makes Will Smith both a contemporary intergalactic cop in the late 1960s and a stranger to Josh Brolin, who plays the younger version of Smith’s stone-faced future partner, Tommy Lee Jones.}}

(ambitransitive) To cheat or swindle; to use crafty, deceitful methods. (often with "out of" preceding the object)

...shady stockbrokers who finagle their clients out of fortunes.

Verb

and (intransitive)

To cajole or attempt to persuade by flattery.

* 1977 , ("The Wife of Bath's Tale"), Penguin Classics, p. 290:

Though he had beaten me in every bone / He still could wheedle me to love.

I'd like one of those, too, if you can wheedle him into telling you where he got it.

To obtain by flattery, guile, or trickery.

* Congreve

A deed of settlement of the best part of her estate, which I wheedled out of her.