for the newer style clips, get a 6" length of fairly heavy coathanger (the dark colored not the thinner white ones), bend one end into a loop to hold onto and a small right angle bend on the other end maybe 1/8 to 3/16 long.
use this as a catch on the backside of the clip and pull.
just don't let that clip go flying... these old eyes have a hard time finding them again.