Stop fiddling with the adjuster at the lever end it's not the one that does all the work, get the front sprocket cover off and do it properly. It'll be buttery smooth once you're done.
Have you got a copy of the service manual? It shows you how to do it in there. Also search on SV650.org for the clutch adjustement mantra I think it's called, it's another good walk through.
It's daunting the first time you do it but I can have it done and dusted in about ten minutes now.
The unstuck left grip that failed my MOT which the garage apparently restuck started spinning again a day or so later, so I got some cheap grip glue and tried again but again it's completely unstuck after a day or 2.
So I've used it as an excuse to get some nice new soft compound Renthal grips and a tube of their grip glue, fingers crossed they'll stay put! Not looking forward to doing the throttle tube grip though I can see that being a pain.