This may be a daft one to ask about, but im only familiar with cage engines and i havent heard an sv650 running before mine.
With the bike in neutral a blip of the throttle produces a "clunk", its quite a heavy sound which you can feel through the seat.
It does it right as the engine comes off idle when you blip the throttle quickly.
Not sure if its related but theres a bit of a tap sounds like its coming from the rear cylinder at idle, sounds a bit like tappets.
Bike is a 2002 naked with 13000miles. unknown history.
Cheers
Chris