That's a very low mileage, and the cam chain is the "morse" type which last a long time, so wouldn't expect much wear.
The first and easiest thing to check would be the tensioner condition.
If you follow Steveloomis recommendation re checking the crankshaft right side nut(and keyway), also check the balance shaft nut next to it(and the keyway) as they have a tendency to work loose with disastrous consequences, and the TT600 are known for it.

I have a 2001 XT600E 4PT DJ02 which had a noisy cam chain only at 3400-3700 RPM. Supposedly only done 19K, but was a 2nd/h import, so the odometer may have been tampered with?
I renewed the camchain, although the new one was the same length as the old one, but since it was apart thought it best to renew it anyway.
The most difficult part was removing the flywheel as they're really tight & easy to damage the end of the crankshaft.

The chain tensioner was in good condition so reused that.

Checked the camshaft bearing surfaces, good.

The front chain guide was worn on the top ears, so I renewed that also.
Then discover the old front chain guide had previously been bowed slightly compared to the new one, which was straight. So someone had previously removed the chain guide & bowed it, then refitted it to hopefully cure the chain noise.

Put it back together and still have the same cam chain noise at 3400-3700 RPM , although not quite as bad as before and not noticeable unless riding constantly in that rev range.
It's not loud, but noticeable if you're listening for it. I guess it's just the nature of the beast.

Maybe you or others can benefit from my experience, which was mostly a waste of time.

Bob

__________________
Remember that Assumption is the mother of all f**k-ups.