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1.
Making plans that one does not intend to keep. It is fake planning. The purpose of flanning is to make it seem to the other person that you like them and want to spend time with them, when in reality you are hoping they cancel first so you don't have to see them.

When two people flan with each other, it becomes a game of chicken, each one waiting for the other to break and cancel first.
Ari bumped into Josh on the street after not seeing him for 3 years. They both enthusiastically agreed to have lunch and play racquetball in the near future, but I think they were both flanning.
by U-dub July 15, 2011
 
2.
just doing doing nothing, or just hanging out.
Josh is just flanning up in the gunners hatch.
by dramabeats71 October 23, 2011
 
3.
To Lick Chocolate Off of Someone
He was totally flanning me last night.
by Pannah May 23, 2008