I jog and I find the bra offers the breasts great support.  I don't feel any bounce with this bra.  I am a 34B and I ordered a size small which fit perfectly.  It's lined and it didn't chafe the skin either.  It's mostly cotton and holds moisture well, I live in the tropics.  The lining is soft against the skin and makes you feel dry while working out.  As with most sports bras it takes effort to put on but once it's on, I hardly felt the bra  while receiving the support I need.  I highly recommend it.