Kitchen Sink Replacement help

[Inkarnata]

So I bought a new sink, got everything set up drain wise, dropped the sink in...it seems like the cutout from the old sink is slightly too big..the clips on the new sink barely reach the bottom of the counter top, and in the back, the slide that the clips attach to is too short to reach the spot where it was previously clipped in. I would just do a silicone bead around the bottom of the sink, but the cutout being slightly too big leaves very little lip for everything to set on.

So my questions are....do they sell clips separately that maybe have a longer tongue on them to attach to the bottom of the counter top? Would installing a 1/4-1/2" piece of wood all the way around the opening help to close the gap or would this cause more issues. I'll try to get some pics to illustrate the problems....

The sink:


The clips:






Backside of the sink, to show just how close the hole is cut:

[99blackmagic]

i'd say a healthy dose of silicone would seal things up as well as keep the sink in place fairly well.