Abstract: A support system for trimming exposed edges of suspension ceilings provides a trim strip mounting clip which mounts on the bulb of an adjacent grid tee member and provides a face portion which snaps into and locks with a channel-shaped trim strip. The connector clip supports the trim strip from the adjacent grid members without any exposed fasteners and provides an uninterrupted finished edge appearance. Several embodiments of connector clips are illustrated, one of which provides a support portion pivotally connected to a face portion so that trim strips can be mounted on adjacent grid members in positions parallel to the adjacent grid members and at angles relative thereto.