If you have some how ended up with an "extra" countersink cage (like...when you drop your drill with the cutter and cage installed and end up bending the cutter shaft so it no longer spins without a big wobble...which makes the whole thing useless), you can cut down the cage so it can be placed very close to an adjacent protruding surface, asuming that you have ordered a replacement tool.
U.S. Industrial Tool & Supply Co (ustool-new.com) has a down loadable catalogue, and page 105 shows what one looks like. You can order several different types of cages...but just be sure what you order will fit what you have, as there are many different types and sizes of micro-stop countersink cage tools.
I have found the "cut-down" version quite handy for the tight quarters situation, but I still use the full cage most of the time.