Not sure exactly what is going on, but the symptoms point to a hydraulic
problem. If the clutch cylinders are original the simplest approach is to
replace both master and slave cylinders and bleed the system. It's a
moderate DIY job if you have normal tools. If you are doing it be sure to
use only Honda fluid.

If money is really tight ('tis the season) you can try bleeding the clutch
hydraulics (remember - genuine Honda fluid) and see if that makes a
difference. The cylinders are at about the end of their life expectancy,
though, if they are original.

Mike