Cuts out randomly, starts again ok,rides ok,done spark plug air filter,emptied tank. wot now,is there a solenoid or something?

A combustion needs three things to occur. Heat, fuel, and air. Did you check the air filter to see if it is clogged? Try starting it without the air filter. Are you getting a spark at the spark plug? I assume you have gas in the tank, but is it getting to the combustion chamber?

When it shuts off what is it losing?

Here are a few tips to look at, I would first check your inline fuel filter to make sure its not clogged up. See Page 26 of the Manual for additional help.

http://www.husqvarna.com/ddoc/HUSO/HUSO2010_NAen/HUSO2010_NAen_YTH2348_532441716.pdf

PROBLEM
Will not start

CAUSE CORRECTION
1. Out of fuel. 1. Fill fuel tank.
2. Engine not "CHOKED" properly. 2. See "TO START ENGINE" in Operation section.
3. Engine flooded. 3. Wait several minutes before attempting to start.
4. Bad spark plug. 4. Replace spark plug.
5. Dirty air filter. 5. Clean/replace air filter.
6. Dirty fuel filter. 6. Replace fuel filter.
7. Water in fuel. 7. Empty fuel tank and carburetor, refill tank with fresh gasoline and replace fuel filter.
8. Loose or damaged wiring. 8. Check all wiring.
9. Carburetor out of adjustment. 9. See "To Adjust Carburetor" in Service Adjustments
section.
10. Engine valves out of adjustment. 10. Contact an authorized service center/department.

Recheck spark when the unit cuts out. I am gonna guess you spent a lto of money chasing a bad coil! When a coil starts to go bad they become temperature sensitive. Time does the rest!

Chances are condensation has collected in the carb float bowl. Drain the carb. Yes, keep the tank filled. This will lessen condensation. You may want to install a new spark plug as well.

I would check your air filter and spark plug for the Honda engine. Also you may have water in your fuel tank and carburetor. If there is grass built up on the air filter, replace it. If the spark plug has a black charcoal like substance on it then you will need to clean it. A wire brush will work ok for this. If you do these things and it still won't start then I would empty the fuel tank and drain the contents of the fuel bowl on the carburetor. This is done by loosening a 10 mm bolt on the side of the fuel bowl. Let it drain for a little while and then put some fresh fuel in the fuel tank, after tightening the nut on the side of the carburetor. At this point if the unit will not run correctly I would take it into a Honda Power Equipment repair shop and let them take over. I like to tell my customers, "If it won't start with one or two pulls something is wrong."

Check the Spark Plug

Check the gas and gas tank, you might have water in the gas.

If the fuel pump is working correctly then the problem is between the tank and the pump. run a fuel line from the pump to a gas can. If the pump is working it will siphon the fuel into your filter. If the pump is fine then there is blockage, broken fuel line (sucking air), or something blocking the pick up inside the tank.

It sounds like something is preventing the bike from getting fuel. Check fuel filter, fuel tank vent, air filter too. If you have vacuum building up in the tank, letting the bike sit for a few minutes slowly releases that vacuum allowing the pump to pull fuel easily again for a bit. Next time the bike quits open your fuel tank. If you hear a whoosh of air being sucked in look for a plugged vent line. A plugged air filter can have a similar effect but the only way to check that is change the air filter or look at the one you have. It would have to be really, really dirty or plugged with some debris to cause this problem.