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2.
When you look at someone in a sneaky way, after planning to for some time. Often preceeded by a courage building up moment and excecuted by sort of looking around the room like your bored then stealing a quick peak and looking away just as fast.
planned + glance = plance
I was pretty sure that sexy senior was looking at me, but i didn't want to just stare if he wasn't, i had to plance around a bit.

I saw her walking up and in my head i was already getting ready to plance.
by Emmerz is Awesome October 30, 2008
 
1.
to play around while dancing, not exactly showing one's true dancing skills. Usually to music that has well defined beats. Play + Dance = Plance.
Boy: Hey, do you wanna plance with me?
Girl: Haha, sure.
by Damnyouarecool July 04, 2006