All of the above are good points. Put the kart up on kart stand or elevate just the rear wheels and turn the wheel and see if you can hear the noise where the chain may be hitting or rubbing. What chain size are you using? #35, #41, #420, #40 Please don't tell me it is #428 chain because then you have a problem. You need a special clutch sprocket for #428 chain because the rollers are LARGE .330 versus the #41 @.306 #420 @.306, #40 @ .312. The sprockets on most American clutches are made for the smaller rollers. You have to order a special clutch sprocket for #428 chain because the roller cannot get all the way down into the valley of the sprocket.
If you have #35 chain which is NOT roller chain, it just beats the cr_p out of sprockets and your rear sprocket could be worn out.
A picture of the clutch is worth a 1,000 words and helps all of us what to look for.
Could be the axle bearings are shot. Pictures do help.