It might be part #6 on 2006 Suzuki DL650 Rear Wheel | Ron Ayers
When these begin to wear, they loosen and allow the sprocket to slip slightly under acceleration. You can replace them or shim them with innertube pieces cut to fit. There are threads on this forum about shimming them. When mine went bad and caused a noise like you describe I was told that the test is to remove the rear wheel and lay it flat on the ground, Then pick it up by the sprocket. If the rear drum and sprocket easily separate from the wheel, then they need shimmed or replaced.