This often gets used to mean: "Pull apart to analyse its consituent parts" or "Dismantle".
We've heard the word from our introductions to postmodern by youth speakers at conferences we've attended, and now we just like the sound of the word. But this is not what the word means.
Deconstruction means "to undermine something by showing it's contradictory assumptions". It's a postmodernist strategy that subverts existing languages/philosophies to show that there is no one absoulte and objective truth.
A feminist reading of Luke's gospel, or a queer reading of 1Samuel are both deconstructing scriptural texts.