Usually a "sliver off the top" will be chunk from the ring grove to the crown.
This means the top ring will not be able to seal properly and the engine will be some where between a little smokey to a moving smoke screen.
If the bore is OK , which is why you were adviced to not to force it you will get away with a new piston or piston & rod which are not very expensive.
Again we will need the pickies.
Look closely at the piston top as something caused that lump to break off.
Very early you do get a piston cracked from new but mostly it is because something got into the cylinder that should not have been there, screws from the carb are a prime example.