Just to get this straight, which is it?
When you press the starter button with the bike in neutral the engine turns over, but will not start and if you pull in the clutch and put it into first gear and press the starter button it will start?
OR
When you press the starter button with the bike in neutral a relay chatters, but will not start and if you pull in the clutch and put it into first gear and press the starter button it will start?