The only reason that it would behave that way are a couple different reasons
-your cable is too tight and your clutch is permanently partially disengaging while you drive.....kinda like your foot is riding the clutch. Do you have any slack...aka mush at the top of the pedal, or is it all stiff/?? you want about one inch of mush/slack to be in perfect adjustment, if there is no slack at all, you are too tight, any more slack than an inch, you are too loose, although in your case, being too loose will not cause it to display those behaviors
-You are not properly broken in yet with your new clutch. A new clutch requires a break in period. The surface of the flywheel is perfectly flat, yet a brand new clutch disc is not, and has irregularities, and uneven surface area. Do NOT gas the engine hard, even after your foot is off the clutch, even when the clutch is fully engaged, it can slip until break in when the disc and flywheel properly mate.
-it could already be too late. check your adjustment like I described, wait the required break in period, and if you still have troubles, you know what you have to do. Good luck!