What shape is your cable in? If you dont know how old it is, replace it.
That ^^^ and did you follow the correct adjustment procedure starting at the adjuster in the cover, then the adjuster bottem end cable and then the adjuster top end cable at the handlebar? Do you have the correct cable? Honda had two different cables to accomodate different height handlebars. All this has to be checked first.
1 - Screw in the adjuster screw on the hand lever as far as possible.
2 - Screw in the case adjustment screw on the cable as far as possible (where the cable enters the side cover).
3 - Loosen the lock screw on the left side cover
4 - With a large flat blade or coin, tighten the slotted adjuster clutch as far as it will go. Then, back it off about an 1/8 of an inch
5 - Tighten the lock screw
6 - Screw out the case adjustment screw to take up slack
7 - If needed, screw out the hand lever adjuster to take up extra slack. Make sure to leave about 1/4 inch of free play in the lever
8 - Set the lock screw on the hand lever
9 - Set the lock nut on the case adjuster
10 - Go ride