MCCULLOCH CHAINSAW LEAKS

I inherited this chainsaw, and it looks and works pretty good for its size. But the chain-oil slowly oozes (leaks) out when the saw just sits unused on the table. I have disassembled it, and see nothing out of ordinary. But I know little of how chainsaws really work. The Sears parts page shows little to help me.
So I ask - anyone suggest something that I do to stop the leak when saw sits unused - except emptying the oil tank that is.
Thanks
The Apeman
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Sorry for the caps.
The Apeman

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Hang it from the hole at the end of the bar, with the blade pointing up.
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