Integrity is the system working.  Integrity shows the solid strength of a person, an organization, a container.  If integrity is out, it doesn't mean that there's something wrong.  There's nothing bad about being out of integrity, just as being in integrity doesn't necessarily mean that there's something right.  Integrity is just the system working as it is.  

Integrity will move in and out as organizations grow, or as projects move.  I see it being as natural as seasons and as beautiful and creative as our natural planet.  As integrity moves out (say, if staff come in late when we've made a commitment to being on time) then it's a creative moment for us to see the leak in the container and decide to recommit to coming in on time or create a new system that better matches what we're committed to.  If being your word is a source of power... being out of integrity is your ability to stretch and grow.  The trick is to not make yourself or the organization wrong when you are out of integrity.

Consider that we are constantly repeating ourselves to create a strong structure, that we are reminding ourselves and others whenever integrity is out.  One of my favorite theorists, Judith Butler explains how repetition creates an opening for choice and re-evaluation.  She uses the concept to describe how social norms are created and maintained as dissent comes up and the repetition of thoughts and beliefs re-attach what is created to be "normal" or "central".  In this, she explains, we have an opportunity to re-evaluate and envision various options:  just as we are about to repeat, we see the possibility of change.