It is not clear from your posting how the breast compression is being
used.  It is definitely *not* a technique for getting a baby onto the
breast by making a "sandwich" something I am against, although
occasionally I will try.

Breast compression is a technique for keeping up the milk flow once
the milk flow has slowed down.  Babies respond to milk flow, not
"what's in the breast", and mothers frequently complain that the baby
falls asleep quickly at the breast (due to slow flow).  This can be
helped by a better latch and by breast compression (which you can read
described in the handouts on Cindy's web page).  Breast compression is
*not* wringing out the breast like a towel.  It is simply compression
to help continue the flow of milk, and should *never* hurt.  I have
maybe once in a month of Sundays had a woman complain of pain while I
showed her breast compression.  If it hurts something is done, or your
doing it too hard.

Jack Newman, MD, FRCPC