Well, maybe, but I doubt it. Is the 5% util on that one card, or overall?
One scenario that might result in a score increase would be if your overall util was 5%, but your util on that one card was quite high. (This can happen if you have a LOT of credit overall.) Then the util on that card would drop, and you might get a score increase.
A second would be if there really is one last score jump to have your util at 4% or less. There is periodic wondering about this, but no one has ever been able to pin it down for sure. We know there's a break at under 10%; we just don't know if there's one for under 5%.
* Credit is a wonderful servant, but a terrible master. * Who's the boss --you or your credit? FICO's: EQ 781 - TU 793 - EX 779 (from PSECU) - Done credit hunting; having fun with credit gardening. - EQ 590 on 5/14/2007
Some CLIs are granted only after a hard inquiry pull, so you see may around a -10 initial hit for the inq, but balanced against any concurrent increase that you may get from the increased limit, and the related decreased &util. So it is hard to project. It depends.